Question

Two matrices $A=[a_{ij}{]}_{p\times q},B=[b_{ij}{]}_{m\times n}$ are equal if $p=m,q=n$ and for all $i,j$

• A. $a_{ij}=b_{ij}$
• B. $a_{ij}=b_{ji}$
• C. $a_{ij}=2b_{ij}$

Answer 1

The correct option is A $a_{ij}=b_{ij}$

For two matrices to be equal, their order must be same and each corresponding element must be equal.
So, If $A=[a_{ij}{]}_{p\times q}$ and $B=[b_{ij}{]}_{m\times n}$ are equal, then $p=m,q=n$ and $a_{ij}=b_{ij}$.