Chapter 2.5, Problem 2CFU

To determine

To describe:the matrix $\left[\begin{array}{ccc}3& 2& 0\\ 4& -3& 5\end{array}\right]$ does not have a determinant and also given one example.

Answer to Problem 2CFU

The given matrix is not a square matrix.

  $\left[\begin{array}{ccc}1& 4& 1\\ 2& -2& 7\end{array}\right]$

Explanation of Solution

Given information: $\left[\begin{array}{ccc}3& 2& 0\\ 4& -3& 5\end{array}\right]$ .

Calculation:

The determinant only exists if the matrix is square.

In other terms, if the matrix is $n\times n$ . This is a $\text{2}\times \text{3}$ matrix.

Another example is $\left[\begin{array}{ccc}1& 4& 1\\ 2& -2& 7\end{array}\right]$