## Precalculus (6th Edition) Blitzer

Two matrices of different order can be multiplied if the number of columns in the first matrix is equal to the number of rows in the second one. Hence, the given statement is true. Example: If $A$ is a $2\times 3$ matrix and $B$ is a $3\times 5$ matrix, then the product $AB$ is defined and it will be a $2\times 5$ matrix.