InterviewSolution
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InterviewSolution
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Using elementary transformations, find the inverse of each of the matrices`[[3 ,10],[ 2, 7]]` |
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Answer» Here, `A = [[3,10],[2,7]]` We know, `A = IA` `=>[[3,10],[2,7]]= [[1,0],[0,1]]A` Applying `R_1->R_1-R_2` `=>[[1,3],[2,7]] = [[1,-1],[0,1]]A` Applying `R_2->R_2-2R_1` `=>[[1,3],[0,1]] = [[1,-1],[-2,3]]A` Applying `R_1->R_1-3R_2` `=>[[1,0],[0,1]] = [[7,-10],[-2,3]]A` `=>I = [[7,-10],[-2,3]]A` Comparing it with , `I = A^-1A` So, `A^-1 = [[7,-10],[-2,3]]A` |
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