InterviewSolution
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If `A=[[1 ,2,-3],[ 5, 0, 2],[ 1,-1, 1]], B=[[3,-1, 2],[ 4, 2 ,5],[ 2, 0, 3]]`and `C=[[4, 1, 2],[ 0, 3, 2],[ 1,-2, 3]]`, then compute `(A+B)` and `(B - C)`. Also, verify that `A + (B - C) = (A + B) - C`. |
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Answer» `A = [[1,2,-3],[5,0,2],[1,-1,1]]` `B = [[3,-1,2],[4,2,5],[2,0,3]]` `C = [[4,1,2],[0,3,2],[1,-2,3]]` `=> A+B = [[1,2,-3],[5,0,2],[1,-1,1]]+ [[3,-1,2],[4,2,5],[2,0,3]]= [[4,1,-1],[9,2,7],[3,-1,4]]` `=> B-C = [[3,-1,2],[4,2,5],[2,0,3]] - [[4,1,2],[0,3,2],[1,-2,3]] = [[-1,-2,0],[4,-1,3],[1,2,0]]` Now, `A+(B-C) = [[1,2,-3],[5,0,2],[1,-1,1]] + [[-1,-2,0],[4,-1,3],[1,2,0]] = [[0,0,-3],[9,-1,5],[2,1,1]]` `(A+B)-C = [[4,1,-1],[9,2,7],[3,-1,4]] - [[4,1,2],[0,3,2],[1,-2,3]] = [[0,0,-3],[9,-1,5],[2,1,1]]` `:. A+(B-C) = (A+B)-C` |
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