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| 14 Jul 2016 04:38 PM |
| Let's discuss about it, after all ROBLOX Talk is for discussions. |
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1213mkj
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| Joined: 08 Mar 2010 |
| Total Posts: 495 |
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Zwuh
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| Joined: 01 Sep 2010 |
| Total Posts: 10820 |
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| 14 Jul 2016 04:40 PM |
I'm good at it
I have to do a 30 page packet for it this summer :( |
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| 14 Jul 2016 04:42 PM |
Let A and B be matrices.
Show that the inverse of AB is (B^-1)(A^-1). |
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| 14 Jul 2016 04:47 PM |
| "what's you + me equal ^_^" me + you "I'm good at it I have to do a 30 page packet for it this summer :(" Wow, homework, you are unlucky. I am going to make a thread about homework. "Let A and B be matrices. Show that the inverse of AB is (B^-1)(A^-1)." B ^ (-1) * A ^ (-1) = 1/B * 1/A = 1/BA = 1/AB |
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| 14 Jul 2016 04:52 PM |
Well you can't write a matrix inverse A^-1 as 1/A because this making the assumption that matrix multiplication is commutative, which is not in general.
So to show this,
AB(AB)^-1 = AB(B^-1)(A^-1) = AIA^-1 = AA^-1 = I, where I is the identity matrix.
Make sure to show also (AB)^-1(AB) = I. |
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| 14 Jul 2016 04:54 PM |
"Well you can't write a matrix inverse A^-1 as 1/A because this making the assumption that matrix multiplication is commutative, which is not in general.
So to show this,
AB(AB)^-1 = AB(B^-1)(A^-1) = A I A^-1 = AA^-1 = I, where I is the identity matrix.
Make sure to show also (AB)^-1(AB) = I."
Whatever, I do not know matrixes nor "I"s, unless they are a square root of -1. |
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| 14 Jul 2016 04:56 PM |
Yeah, it also depends on the context you're working in. Big "I" is for identity matrix, or any identity operation. Little "i" like you mentioned, is the imaginary unit.
If you're doing physics/engineering, you use "j" as the imaginary unit since "i" is used for current. |
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| 14 Jul 2016 05:00 PM |
Oh wow, I didn't realize that! OMG!!! |
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| 15 Jul 2016 01:23 PM |
| Oh, boy, this is actually legit |
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| 15 Jul 2016 03:08 PM |
"Oh, boy, this is actually legit:
What did you except? |
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| 15 Jul 2016 08:45 PM |
| Cool actually, not that many people like math. :D |
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