Objective 2.16
Matrix $A$ has the dimensions $6 \times 4$ and Matrix $B$ has the dimensions $5 \times 2$
What are the dimensions of the product $A B$ ?
Answer
\(oxed{\text{The multiplication of Matrix A and Matrix B is not possible.}}\)
Step 1 ：Matrix $A$ has the dimensions $6 \times 4$ and Matrix $B$ has the dimensions $5 \times 2$
Step 2 ：The multiplication of two matrices is possible only when the number of columns in the first matrix is equal to the number of rows in the second matrix.
Step 3 ：In this case, Matrix $A$ has 4 columns and Matrix $B$ has 5 rows.
Step 4 ：Since the number of columns in Matrix $A$ is not equal to the number of rows in Matrix $B$, the multiplication of Matrix $A$ and Matrix $B$ is not possible.
Step 5 ：\(oxed{\text{The multiplication of Matrix A and Matrix B is not possible.}}\)
