Question

Two matrices $A$ and $B$ are multiplied to get $AB$ if

• A. both are rectangular
• B. both have same order
• C. number of columns of $A$ is equal to rows of $B$
• D. number of rows of $A$ is equal to no of columns of $B$

Answer 1

The correct option is C number of columns of $A$ is equal to rows of $B$

According to condition of multiplication of two matrices:

The columns in first matrix should be same in number as the rows in the second matrix [For $AB$ to be defined, we must have columns in $A=$ rows in $B$]

Hence option C is true.