Question

Determine whether the product of the matrices is defined in each case. If so, state the order of the product. AB, where $A=[a_{ij}{]}_{4\times 3},B=[b_{ij}{]}_{3\times 2}$

Answer 1

$A={\left[a_{ij}\right]}_{4\times 3},B={\left[b_{ij}\right]}_{3\times 2}$

The product of a $A$ $\&$ $B$ is defined as the number of column of $A$ is equal to number of row of matrix $B.$ Then order of matrix after product form is $4\times 2.$

Hence, the answer is $4\times 2.$