Hello,

Can someone help me understand this problem?

Write the given matrix as a product of elementary matrices

[ -3 1 ]

[ 2 2 ]

I'm confused by the process, can someone shed some light on how to do it?

Thanks,

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- Oct 9th 2010, 10:21 PMl flipboi lWrite the given matrix as a product of elementary matrices
Hello,

Can someone help me understand this problem?

Write the given matrix as a product of elementary matrices

[ -3 1 ]

[ 2 2 ]

I'm confused by the process, can someone shed some light on how to do it?

Thanks, - Oct 9th 2010, 10:26 PMmr fantastic
- Oct 9th 2010, 10:35 PMl flipboi l
I'm not sure, but the answer is:

[1 0][1 1][-4 0][1 0]

[0 2][0 1][ 0 1][1 1]

Not sure how to get this... - Oct 10th 2010, 12:06 AMmr fantastic
- Oct 10th 2010, 12:30 AMl flipboi l
My apologies, I wasn't sure what you meant by "list the three 2x2 elementary matrices that this question is referring to?"

But yes, I am familiar with Elementary Matrix and the Elementary operations.... I'm able to get some of the answer, but I keep getting stuck.

What i'm able to do is transform

[ -3 1 ]

[ 2 2 ]

to

[1 0]

[0 1]

now what do I do from there?

Here's what I have...

operations:

[1 5]

[2 2]

[1 5]

[1 1]

[1 5]

[0 -4]

[1 5]

[0 1]

[1 0]

[0 1] - Oct 10th 2010, 02:22 AMl flipboi l
I've been working on a problem similar to do, is it safe to say that you don't have to have it in the reduced echelon form?

for instance I can leave it as:

[1 4]

[0 1]

Then perform the operations for the identity?