If A- B- C are nonsingular square matrices of order 3- 3 then which of the following is not necessarily true-

The correct option is A A^TA = I ⇒ AA^T = I (A) A^TA=I⇒ AA^T=I is true only when A^ 1=A^T (B) A^ 1B^ 1=(BA)^ 1 (C), (D) hold true for all ...

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Scalar Matrix

If A, B, C ar...

Question

If A, B, C are nonsingular square matrices of order $3 \times 3$ then which of the following is not necessarily true?

A^{T} A = I \Rightarrow A A^{T} = I

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A^{- 1} B^{- 1} = (B A)^{- 1}

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I^{- 1} = 1

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(A - B) C = A C - B C

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