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February 12th, 2013, 01:27 PM   #1
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Find matrix M such that AM=B

Find matrix M such that AM=B when
A =

1 -2 3
2 1 7
2 2 7

B =

0 0 1 1
0 1 0 1
1 0 1 0
I think side by side Gaussian Elimination is used somehow.
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February 12th, 2013, 01:50 PM   #2
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Re: Find matrix M such that AM=B

Can you compute and multiply on the left by that?
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February 12th, 2013, 02:04 PM   #3
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Re: Find matrix M such that AM=B

Yeah thanks
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February 12th, 2013, 03:07 PM   #4
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Re: Find matrix M such that AM=B

Hello, imhotep!

Crimson Sunbird has the best game plan.
Did you try it?


Quote:


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February 15th, 2013, 01:16 PM   #5
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Re: Find matrix M such that AM=B

Same idea but a little faster:
Replace the identity matrix on the left by the matrix B:

and do the row operations, as Soroban shows, to reduce the matrix, A, to the identity while applying those same row operations to the matrix, B.
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