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If A and B are two non-singular square m...

If A and B are two non-singular square matrices such that AB = A, then which one of the following is correct ?

A

B is an identity matrix

B

`B = A^(-1)`

C

`B = A^(2)`

D

Determinant of B is zero

Text Solution

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The correct Answer is:
A
Since, A and B are two non-singular matrices therefore their determinant is non-zero.
`therefore A^(-1) and B^(-1)` defined.
Consider `AB = A rArr A^(-1) AB = A^(-1) A rArr B = I`
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