Chapter 11.4, Problem 1AYU

To determine

To fill: The blank in the statement “A matrix that has the same number of rows and column is called a(n) _____ matrix”.

Answer to Problem 1AYU

The complete statement is “A matrix that has the same number of rows and column is called a square matrix”.

Explanation of Solution

Given information:

The statement “A matrix that has the same number of rows and column is called a(n) _____ matrix”.

Consider the provided statement “A matrix that has the same number of rows and column is called a(n) _____ matrix”.

In a matrix elements written horizontal form a part of row and elements written in the vertical form a part of column.

When number of rows and column are same it is called square matrix.

For example: $\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$ is a square matrix of order $2\times 2$ .

Thus, the complete statement is “A matrix that has the same number of rows and column is called a square matrix”.