Show that B is the inverse of A, A=[[2,-17,11],[-1,11,-7],[0,3,-2]] , B=[[1,1,2],[2,4,-3],[3,6,-5]]

GepGreeloCesyjk 2022-09-21 Answered
Show that B is the inverse of A
A = [ 2 17 11 1 1 0 0 3 2 ] , B = [ 1 1 2 2 4 3 3 6 5 ]
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Answers (1)

devilvunga
Answered 2022-09-22 Author has 14 answers
A = [ 2 17 11 1 1 0 0 3 2 ] , B = [ 1 1 2 2 4 3 3 6 5 ] A B = [ 2 17 11 1 1 0 0 3 2 ] [ 1 1 2 2 4 3 3 6 5 ] = [ 2 34 + 33 2 68 + 66 4 + 51 55 1 + 22 21 1 + 44 42 2 33 + 35 0 + 6 6 0 + 12 12 0 9 + 10 ] = [ 1 0 0 0 1 0 0 0 1 ] = O B A = [ 1 1 2 2 4 3 3 6 5 ] [ 2 17 11 1 1 0 0 3 2 ] = [ 2 1 + 0 17 + 11 + 6 11 7 4 4 4 0 34 + 44 9 22 28 + 6 6 6 0 51 + 66 15 33 42 + 10 ] = [ 1 0 0 0 1 0 0 0 1 ] = I A B = B A = I B 1 = A  (or)  A 1 = B
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