# Vector Algebra questionWatch

#1
A =

Find elementary matrices E1 and E2 such that
Last edited by E--; 4 weeks ago
0
4 weeks ago
#2
(Original post by E--)
A =

Find elementary matrices E1 and E2 such that
You've used this site enough to know that you should post any thoughts / attempts first.
0
#3
(Original post by RDKGames)
You've used this site enough to know that you should post any thoughts / attempts first.
My thoughts
Elementary matrices are invertiable. And E1 and E2 must be a 2 x 2 matrices.
0
4 weeks ago
#4
(Original post by E--)
My thoughts
Elementary matrices are invertiable. And E1 and E2 must be a 2 x 2 matrices.
Well, you're not wrong, but it isn't much to go on.

Notice that and the only way this is possible is if the product is the inverse of . [We simply use the fact that here]

Hence . What is ?

If you can find two elementary matrices which multiply to give then you're done.
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4 weeks ago
#5
(Original post by RDKGames)
Well, you're not wrong, but it isn't much to go on.

Notice that and the only way this is possible is if the product is the inverse of . [We simply use the fact that here]

Hence . What is ?

If you can find two elementary matrices which multiply to give then you're done.
I understand he hasn't given you much to go on, but I feel this is probably going to send the OP in the wrong direction; the intent of the question is clearly to use 2 elementary row operations to reduce A to the identity and then make E1,E2 the corresponding elementary matrices.
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