Question

Does have an inverse? Why or why not?

Answer 1

A

A square matrix is invertible if its determinant is not zero.

The determinant for this matrix is

$\begin{vmatrix}4&8\\7&14\end{vmatrix} = 4\cdot14 - 8\cdot7 = 56 - 56 = 0$

so it does not have an inverse because its determinant is zero.