Question

that AB- 100 1 2 20 2 2 0 and trices shown to the right e A be the oorresponding n ×n matrix and let B be i s in ers e Guess the to m or B, and then st Use the algorithm for finding A to find the invers s of the 3 330 3 330 4444] 11 1[10 If A is the corresponding n× n matrix and B is its inverse, which of the following is B? ○ A. OB. 1 0 0 Forja 1,2, ,n, let aj bj, and ej denote the jth columns of A, B, and i, respectively. First let j = 1,2, n-1 and evaluate Ab, Forj-12,. .n, let a, b, and e, denote the jth columns of A, B, and I, respectively. First let j-1,2., 1 and evaluate Ab AD A91) Distribute to remove the brackets. AD1) Rewrite a and a +1 in terms of the columns of I. Ab De +0+1)e1+ 1)e+1+ nen Simplify this expression. AD Simplify this expression Because the result from the previous step is equal to | el it follows that AB = I for,-12 n-1 Which of the following shows that AB forjn, completing the proof? A. Abn2A(nen) Abn = Al en n+1n+ 1

Answer 1

3 3 3 o f3 (nouss - JoRdeu metho d 2- 2