The determinant of a matrix is found by subtracting the products of the diagonals. To evaluate the determinant of a 2* 2 matrix, we will use the appropriate formula.
det[
cc
a & b
c & d
]
=
ad-bcWe can substitute the values from the given matrix into this formula.
det[
cc
4 & -1
8 & 2
]
=
4(2)-(-1)8
Finally, we will simplify the numeric expression.