Does have an inverse? Why or why not?

Thecrispywisp asked May 16, 2023

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Thecrispywisp asked May 16, 2023

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21 votes

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.

Kieran Osgood answered May 21, 2023

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