If A is a square matrix of order n, prove that |A adj A| = |A|n. – InterviewSolution

InterviewSolution

1.

If A is a square matrix of order n, prove that |A adj A| = |A|n.

Answer»

A adj A| = |A|ⁿ

LHS |A adj A|

A|.|adj A|

|A|.|A|^n–1

|A|^n–1+1

|A|ⁿ = RHS

Hence, LHS = RHS

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