Test the inverse formula of Theorem 8 for a random 4 x 4 matrix A. Use your
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Test the inverse formula of Theorem 8 for a random 4 x 4 matrix A. Use your matrix program to compute the cofac- tors of the 3 x 3 submatrices, construct the adjugate, andset B= (adj A)/(det A). Then compute B - inv(A), where inv(A) is the inverse of A as computed by the matrix program. Use floating point arithmetic with the maximum possible number of decimal places. Report your results.
Data from in Theorem 8
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An Inverse Formula Let A be an invertible n x n matrix. Then A = 1 det A adj A
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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