## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

We know that the zero matrix is made up of all zeroes, and their determinant will also be $0$. Let us consider an example: $\triangle = \left|\begin{array}{ll} -1 & 2\\ 4 & -8 \end{array}\right|=8-8=0$ So, our statement is false.