Question

An$\mathbf{8}\mathbf{\times }\mathbf{8}$matrix fails to be invertible if (and only if) its determinant is nonzero.

Short answer

Therefore, the given statement is false.

Step-by-step solution

Matrix Definition. 

Matrix is a set of numbers arranged in rows and columns so as to form a rectangular array.

The numbers are called the elements, or entries, of the matrix.

If there are rows and n columns, the matrix is said to be an “m by n” matrix, written “ $m\times n$.”

To check whether the given condition is true or false.

We know that,

An$8\times 8$ matrix is invertible if and only if its determinant is non-zero.

So, the statement is false