Chapter 6, Problem 1CC

To determine

To explain:

The dimension $m\times n$ for a matrix $A$.

Answer to Problem 1CC

The dimension $m\times n$ represents the number of rows and columns of matrix A.

Explanation of Solution

Given information:

The dimension of matrix $A$ is $m\times n$.

Calculation:

Consider $p\times q$ as the dimension of matrix $P$.

Therefore, $p$ represents the number of rows of matrix $P$ and $q$ represents the number of columns of matrix $P$.

Compare the matrix $P$ with matrix $A$ to obtain the value of $m$ and $n$ as the number of rows and number of columns.

Conclusion:

Thus, the dimension $m\times n$ represents the number of rows and columns of matrix A.