For the matrix show that A 2 4A 5I = 0 and hence that A
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For the matrix
show that A2 – 4A – 5I = 0 and hence that A–1 = 1/5 (A – 4I). Calculate A–1 from this result. Further show that the inverse of A2 is given by 1/25 (21I – 4A) and evaluate.
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