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help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:28:23
There are multiple ways to write it maybe?
0
1
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:28:33
why
0
1
null
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null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:28:45
https://i.imgur.com/y7jDD27.png
0
1
null
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null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:28:48
We have this don't we?
0
1
933,703,897,397,231,600
scarlett<3
5711
scarlett<3
false
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:28:57
because 5pi/6 is not >= than 4pi
0
1
null
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:29:18
This is only the answer in a specific region
0
1
null
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null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:29:18
https://i.imgur.com/SJW5wHW.png
0
1
null
null
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null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:29:24
oh
0
1
null
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null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:29:25
That represents 1 purple strip
0
1
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:29:32
ah I see now
0
1
null
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:30:09
So a hard question you might get is $$\cos 2x + \sin x \leq k$$
0
1
933,703,897,397,231,600
scarlett<3
5711
scarlett<3
false
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:30:32
For some actual k (that makes the question have solutions)
0
1
null
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null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
510,789,298,321,096,700
TeXit
01/29/2022 13:30:47
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:30:54
cos 2x can be converted in terms of sin^2 x
0
1
null
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:30:55
but I can just replace sin² with 1/2(1-cos2x) right?
0
1
null
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:31:01
yes
0
1
null
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null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:31:02
And then you have a quadratic in sin x
0
1
null
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null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:31:15
oh wait you replaced sin²
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1
933,703,897,397,231,600
scarlett<3
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scarlett<3
false
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:31:21
But then you have to solve the inequality wrt this quadratic and the solution will be a bit tedious.
0
1
null
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:32:12
https://cdn.discordapp.c…6010/unknown.png
unknown.png
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:32:17
y
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:32:18
ea
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:32:18
This would be an example
0
1
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:34:48
ok yeah tahts a lot more complex
0
1
null
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null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:34:49
btw
0
1
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null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:34:57
after solving the sin(x) and sin(x)²
0
1
null
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help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:35:07
I got to sin(x)=1+sqrt(3)
0
1
null
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:35:17
I cant actually plug that into arcsin right?
0
1
null
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:35:22
because of the definition range
0
1
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:35:55
how would I get a correct value for that
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:37:24
unless I did smth horribly wrong
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:40:04
1+-
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:40:06
i assume
0
1
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null
null
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:40:15
yea
0
1
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null
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:40:26
You can put it into arcsin, but that only tells you the solution for x between -pi/2 and pi/2
0
1
893,512,897,500,676,100
Zim
7613
Zim
false
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:40:37
Refer to the unit circle or the graph to get all the other solutions
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:40:40
between -pi and pi
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:40:45
well my calc actually spits out mathemtical error
0
1
null
null
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null
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:40:58
Well yes, notice one of the solutions is impossible for real x
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:41:04
1 + sqrt(3) is bigger than 1.
0
1
684,674,576,998,858,800
kloser
6194
the crying name changer
false
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:41:13
oh
0
1
334,482,942,506,041,340
Zybikron
5611
Zybikron
false
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:41:43
so I can only keep going with 1-sqrt(3) ?
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:48:55
yes
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:49:12
ok
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:49:19
well while we are doing this more stuff is coming up
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:49:50
2a ln(x) = ln(3) * log3(x^a)+ln(e^a)
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:50:08
I think I might be missing some rule here to help me solve it
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:52:34
theres a random log base 3?
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:52:39
yea
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:52:56
$$2a\ln x = (\ln 3)(\log_3x^a)+\ln e^a$$
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
510,789,298,321,096,700
TeXit
01/29/2022 13:53:09
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:53:10
this???
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:53:24
yea
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:54:10
What do you get after simplifying as much as possible
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:54:16
There are quite a few log rules to apply
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:54:40
well uh
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:54:48
ln e^a is obviously just a
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:54:57
ln 3 is just a number I can ignore
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:55:09
2a ln x could be made into ln x^2a
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:55:14
but from there idk
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
321,445,119,171,756,000
Shuri2060
01/29/2022 13:55:23
you need log base conversion
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:55:35
never heard of that
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
576,089,376,627,621,900
lmaowhat
01/29/2022 13:57:46
log_b a/log_b c = log_c a
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 13:58:58
oh god
0
1
886,503,373,241,733,100
gracee
0008
gracee
false
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
576,089,376,627,621,900
lmaowhat
01/29/2022 14:02:42
(log 3/log e)(log x^a/log 3) = ln x^a
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
576,089,376,627,621,900
lmaowhat
01/29/2022 14:04:10
a(ln x + 1) = 2a ln x
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
576,089,376,627,621,900
lmaowhat
01/29/2022 14:04:30
ln x + 1 = 2ln x
0
1
150,414,892,225,134,600
RokettoJanpu
6002
RokettoJanpu
false
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
576,089,376,627,621,900
lmaowhat
01/29/2022 14:06:49
ln x + ln e = ln x^2 ln ex = ln x^2 ex = x^2 x = +/-e
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 14:09:21
ty
0
1
null
null
null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 14:09:26
Ill see if I can figure it out
0
1
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null
null
null
205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 14:17:11
ty everyone btw
0
1
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null
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205,741
help-1
62c1b01245174813bf9d8b6a5a63340c
182,418,252,830,343,170
lennygo
01/29/2022 14:17:12
.close
0
1
null
null
null
null
null
205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:14:57
How would I further solve this after calculating the inverse? Do I multiply the two matrices together, and then multiply the result with -1/10?
https://cdn.discordapp.c…1c347b15fe32.png
e42f7fa95524219588fe1c347b15fe32.png
1
0
null
null
null
null
null
205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
186,109,587,366,215,680
Omegabet_
12/23/2021 09:15:52
yes.
0
1
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null
null
null
null
205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
684,674,576,998,858,800
kloser
12/23/2021 09:16:15
cancel out the one with 0,3,-1,-2 first?
0
1
706,934,233,012,371,600
Ansh_
3502
Arya
false
205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
684,674,576,998,858,800
kloser
12/23/2021 09:16:26
the det is nonzero
0
1
261,933,205,387,477,000
riemann
2529
riemann
false
205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
186,109,587,366,215,680
Omegabet_
12/23/2021 09:16:42
Im assuming... the question is evaluate the LHS
0
1
null
null
null
null
null
205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:17:16
I'm calculating the change of basis, but I've narrowed it down to just solving this problem
1
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help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:17:48
like this
https://cdn.discordapp.c…7af78608cd37.png
298cd5272e53431ef6cb7af78608cd37.png
1
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197,018,577,654,644,740
Arvid
9481
Arvid
false
205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:20:35
multiplying it gives me this matrix
https://cdn.discordapp.c…8477e1827e97.png
13d8b5af732fab9611858477e1827e97.png
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null
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help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:20:44
but it's not correct
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:21:08
this is the answer
https://cdn.discordapp.c…24f6d62bf8c5.png
583cf048f8f5651810cc24f6d62bf8c5.png
1
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null
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
186,109,587,366,215,680
Omegabet_
12/23/2021 09:21:42
how did you get 3/5 and -2/5?
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1
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
186,109,587,366,215,680
Omegabet_
12/23/2021 09:22:13
cause $\frac{-1}{10}[(-1)(-2)+(-2)(-4)]=-1$
0
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
510,789,298,321,096,700
TeXit
12/23/2021 09:22:24
**Mosh**
https://cdn.discordapp.c…587366215691.png
186109587366215691.png
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help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:25:43
i multiplied the two matrices together, and then multiplied the matrix that I got with -1/10
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0
null
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null
205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:26:01
like this
https://cdn.discordapp.c…7bf9d1a3e952.png
397ac8e07ed25ff850607bf9d1a3e952.png
1
0
null
null
null
null
null
205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
186,109,587,366,215,680
Omegabet_
12/23/2021 09:26:21
ok..... where did -6 and 4 come from?
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1
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
186,109,587,366,215,680
Omegabet_
12/23/2021 09:26:36
cause you get 10 for the (2,1)-entry
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1
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null
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
186,109,587,366,215,680
Omegabet_
12/23/2021 09:26:42
since 2+8=10
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:28:19
what do you mean? I multiplied the matrices together on the right hand side. are you saying that I got the matrix multiplication wrong?
https://cdn.discordapp.c…1c347b15fe32.png
e42f7fa95524219588fe1c347b15fe32.png
1
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null
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
186,109,587,366,215,680
Omegabet_
12/23/2021 09:28:25
yes.
0
1
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help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:28:34
oh, let me recalculate
1
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null
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
186,109,587,366,215,680
Omegabet_
12/23/2021 09:28:39
That is exactly what I am saying, hence why I am asking how you got those numbers.
0
1
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:28:47
that explains why I'm so confused with the -1/10 multiplication
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
186,109,587,366,215,680
Omegabet_
12/23/2021 09:29:08
the -1/10 has nothing to do w/ matrix multiplication
0
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
186,109,587,366,215,680
Omegabet_
12/23/2021 09:29:16
it's just a scalar out the front.
0
1
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:31:40
ye
1
0
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:32:13
well I got it now, thanks
1
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205,742
help-1
6f529ebfcf8d4b2fa2cf4c00d03ab400
522,676,913,530,077,200
wsnd
12/23/2021 09:32:45
.close
1
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207,711,768,795,938,800
Fullmetal Akabaneist
3894
Fullmetal Akabaneist
false