Question

If a matrix $A$is of order $3\times 2$ and matrix $B$ is of order $2\times 2$ then the matrix $AB$ is of order?

Answer 1

Solve for order of matrix $AB$

We know that,Order of matrix is Number of rows $\times$ Number of columns.

Given,

Order of matrix $A$is $3\times 2$

Order of matrix $B$ is $2\times 2$

Order of matrix $AB=$Number of rows of $A\times$Number of columns of $B$

$=3\times 2$

Hence, matrix $AB$ is of order $3\times 2$.