Q. 6 - Precalculus Enhanced with Graphing Utilities

Question

If a matrix A has no inverse, it is called .

Step-by-Step Solution

Answer

Singular matrix.

Step 1. Given Information

A matrix A with no inverse.

Step 2. Explanation

$$\begin{gathered} A=\left[\begin{array}{cc}4& 6\\ 2& 3\end{array}\right] \\ \left|A\right|=4\left(3\right)-6\left(2\right) \\ =0 \\ Also, \\ {A}^{-1}=\frac{adjA}{\left|A\right|} \\ which does not exist. \end{gathered}$$