InterviewSolution
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InterviewSolution
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Find the inverse of matrix A= [1 1 1] [ 2 -1 3] [3 2-1 ] |
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Answer» A= ⎣⎢⎢⎡ 103 211 111 ⎦⎥⎥⎤ A=AI⎣⎢⎢⎡ 103 211 111 ⎦⎥⎥⎤ =A ⎣⎢⎢⎡ 100 010 001 ⎦⎥⎥⎤ R 3 →R 3 −3R 1 ⎣⎢⎢⎡ 100 21−5 11−2 ⎦⎥⎥⎤ =A ⎣⎢⎢⎡ 10−3 010 001 ⎦⎥⎥⎤ R 3 →R 3 −5R 2 R 1 →R 1 −2R 2 ⎣⎢⎢⎡ 100 010 −21−7 ⎦⎥⎥⎤ =A ⎣⎢⎢⎡ 10−8 −210 001 ⎦⎥⎥⎤ R 3 → 7−1 R 3 ⎣⎢⎢⎡ 100 010 −211 ⎦⎥⎥⎤ =A ⎣⎢⎢⎡ 1078 −210 007−1 ⎦⎥⎥⎤ R 2 →R 2 −R 3 R 1 →R 1 +2R 3 ⎣⎢⎢⎡ 100 010 001 ⎦⎥⎥⎤ =A ⎣⎢⎢⎡ 1+ 716 78 78 −210 7−2 7−1 7−1 ⎦⎥⎥⎤ A −1 = ⎣⎢⎢⎡ 725 78 78 −210 7−2 7−1 7−1 ⎦⎥⎥⎤ EXPLANATION:folow me |
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