Science:Math Exam Resources/Courses/MATH221/December 2019/Question 03 (b)/Statement

Is

$$A={\begin{bmatrix}0&1&2&3\\1&0&2&4\\1&-1&0&1\\0&2&1&3\end{bmatrix}}$$

an invertible matrix? Give a clear justification of your answer (no credit will be given for an answer without a justification).