Question: For an invertible 3 Ã 3 ma-trix A, we can write, using the Cayley-Hamilton Theorem, A3 + bA2 + cA + dl = 0. where

For an invertible 3 Ã— 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)

(2)

For an invertible 3 Ã— 3 ma-trix A, we can

2 -1 01 115 204 114

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