First slide

Operations of matrix

Question

If A is matrix of order $m x n$ and B is a matrix such that AB’ and B’A are both defined, then order of matrix B is

Easy

A

$m x m$
B

$n x n$
C

$n x m$
D

$m x n$

Solution

$A= {[a_{ij}]}_{m x n} and B = {[b_{i j}]}_{p x q}$
$⇒B' = {[b_{i j}]}_{q x p}$
now $A B^{'}$ defined, so $n = q$
$B^{'} A$ is also defined, so $p = m$
$∴$ Order of $B' = {[b_{i j}]}_{n x m}$ and order of $B = {[b_{i j}]}_{m x n}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App