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

If `A` is `3xx4` matrix and `B` is a matrix such that `A^T B` and `B A^T` are both defined. Then, `B` is of the type `3xx4` (b) `3xx3` (c) `4xx4` (d) `4xx3`

A

`3xx4`

B

`3xx3`

C

`4xx4`

D

`4xx3`

Text Solution

Verified by Experts

The correct Answer is:
1
`A_(3xx4)`,B=?
`A'xxB`=defined
`rArr` No. of columns in A'=No. of rows in B
`rArr` No. of rows in A=No. of rows in A'
=No. of columns in A =4
`therefore` order of B=`3xx4`
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