For an invertible 3 Ã 3 ma-trix A, we can write, using the Cayley-Hamilton Theorem, A3 +

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For an invertible 3 × 3 ma-trix A, we can write, using the Cayley-Hamilton Theorem, A3 + bA2 + cA + dl = 0. where b, c, and d are coefficients of the characteristic equation of A. If we multiply through on the left by A-1, we get A2 + bA + cl + dA-1 = 0, which can be solved for A-1. Use this method to calculate the inverses of Problems 1 and 2.
(1)
For an invertible 3 × 3 ma-trix A, we can

(2)

For an invertible 3 × 3 ma-trix A, we can
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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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