Question: Given the matrix and the elementary matrices evaluate E 1 A, E 2 E 1 A, E 3 E 2 E 1 A and E

Given the matrix

[1 1 07 A = 0 1 2 2 3 1

and the elementary matrices

10 0] 0 E 0 1 = 1 10 0] E 0 1 -2 0 0 1| 10 E = 0 10 0 -1 1 E = 0 0 -1 0 10 01

evaluate E1A, E2E1A, E3E2E1A and E4E3E2E1A and hence find the inverse of A.

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