Question: Let and consider the elementary row operations 1 3 R2 5R1 )R2 lo 23] 1 1 3 ng >R2 [0 l 1 0 R1 +

Let and consider the elementary row operations 1 3 R2 5R1 )R2 lo 23] 1 1 3 ng >R2 [0 l 1 0 R1 + 3R2 )R1 [0 1] a) Write down the elementary matrices, E1,E2, E3 such that 1 3 1 0 1, E2E1A_l0 1], E3E2E1Al0 1] 13 BIA = [0 28 b) Using a), write down the inverse of A as a product of three elementary matrices, that is A\"=l H H l c) Find A as a product of three elementary matrices, that is A=| H H l

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