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If A is matrix of order mxxnand B is a matrix such that AB' and B'A are both defined , then order of matrix B is

Answer»

`mxxm`
`nxxn`
`nxxm`
`mxxn`

Solution :Let `A=[a_(ij)]_(mxxn)` and `B=[b_(ij)]_(PXXQ)`
Now, AB' is defined, so n=q
and BA is ALSO defined , so p=m
`therefore` Order of `B'=[b_(ij)]_(nxxm)`
and order of `B=[b_(ij)]_(mxxn)`


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