Engineering
Mathematics
Multiplication of Matrices
Symmetric and Skew Symmetric Matrices
Question

If A is a matrix of order 3 × 3, then find (A2)–1.

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Solution
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(A2)–1 = (A.A)–1                   [∵ (AB)–1 = B–1A–1]
= A–1.A–1 = (A–1)2

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