$\"\"$

Dimensions of $\"\"$ is $\"\"$ and Matrix $\"\"$ has dimensions $\"\"$ .

Find the dimensions of matrix $\"\"$ .

$\"\"$ has $\"\"$ rows and $\"\"$ columns.

By the property of matrix multiplication :

The number of columns $\"\"$ must be equal to number of rows $\"\"$ , hence matrix $\"\"$ must have $\"\"$ rows.

The product matrix $\"\"$ has the same number of columns as matrix $\"\"$ , So matrix $\"\"$ must have $\"\"$ columns.

$\"\"$ has dimensions are $\"\"$

$\"\"$

$\"\"$ has dimensions are $\"\"$ .