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If a matrix A satisfies a relation A prove that A exists and that AEItA, being an identitynatrix |
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Answer» Given that A^2+A - I = 0 If we multiply both sides by A^-1we have, A^-1(A^2+ A - I) = A^-1 .0 = 0 Hence, A +I - A^-1= 0 This gives A-1= (A + I) |
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