If A is a 3xx4 matrix and B is matrix s...

If A is a `3xx4` matrix and B is matrix such that `A^TB` and `BA^T` are both define then order of B is :

A

`4xx4`

B

`3xx4`

C

`4xx3`

D

`3xx3`

Text Solution

Verified by Experts

The correct Answer is:

B

Given `A` is `3xx4` matrix, So, `A'` is `4xx3` matrix.
Since `A'B` and `BA'` is defined, therefore B should be `3xx4`
Hence B is of the type `3xx4`.

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Knowledge Check

If A is a 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are both defined, then order of B is

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`mtimesn`

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