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If A is a square matrix such that A I, then find the simplified value of(A -1)3 +(A + 1)3 - 7A |
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Answer» on expanding,=A^3 - i^3 - 3A^2 + 3A + A^3 + I^3 + 3A^2 + 3A -7A=2A^3 +6A-7A=2A^3-Aas we know that A^2=I A^3=^2 *A=IA=Athe simplified form = 2A-A=Athus A is the required answer.. |
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