Write 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,

Quote:

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Originally Posted by l flipboi l

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,

---

Do you know what elementary matrices are? Can you list the three 2x2 elementary matrices that this question is referring to?

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...

Quote:

---

Originally Posted by l 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...

---

This is not the answer to the question I asked.

If you don't know know what elementary matrices are, i don't see how you can hope to answer the question.

So the first step is to look up elementary matrices in your class notes, textbook or use Google.

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]

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?