Question: 1 2 3 LetA= 1 1 0 2 1 1 (a) Use three row operations E1, E2, E3 of type III to transform A into

1 2 3 LetA= 1 1 0 2 1 1 (a) Use three row
1 2 3 LetA= 1 1 0 2 1 1 (a) Use three row operations E1, E2, E3 of type III to transform A into an upper triangular matrix U. (b) For each row operation used in part (a) write the corresponding elementary matrix. (0) Calculate the product E = E3 - E2 - E1 and verify that EA 2 U ((1) Compute L = E\"1 and verify that A = LU ) (e Using this decomposition, compute (without much work!) the determinant of L, U , and A

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