Question
Evaluate the determinant of the given matrix by cofactor expansion.$$\left(\begin{array}{rrrr}1 & 1 & -3 & 0 \\1 & 5 & 3 & 2 \\1 & -2 & 1 & 0 \\4 & 8 & 0 & 0\end{array}\right)$$
Step 1
The determinant of a 4x4 matrix can be calculated by using the formula: $$ \text{det}(A) = a_{11}C_{11} - a_{12}C_{12} + a_{13}C_{13} - a_{14}C_{14} $$ where $a_{ij}$ are the elements of the matrix and $C_{ij}$ are the cofactors. Show more…
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