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Finding Inverse Using Elementary Transformations

If A and ...

Question

If $A$ and $B$ are square matrices such that $A B = I$ and $B A = I$ , then $B$ is

Unit matrix

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Null matrix

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Multiplicative inverse matrix of

A

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- A

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Solution

The correct option is D Multiplicative inverse matrix of $A$
$A B = I$ $&$ $B A = I$ then $B$ is the multiplicative inverse of $A .$
Hence, the answer is multiplicative inverse matrix of $A$ .

Suggest Corrections

Similar questions

A

| A^{-} 1 | = \frac{1}{| A |}

A

B

A B = B A = I

| A B | = | A | | B |

B^{2}

A

A^{2} = A

B = I - A

A B + B A + I - (I - A)^{2}

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