Answer:
c) 30
The determinant of Given Matrix |A| = 30
Step-by-step explanation:
Explanation:-
Given Matrix
[tex]A = \left[\begin{array}{ccc}-2&2&b\\0&3&a\\0&0&-5\end{array}\right][/tex]
The determinant of |A|
[tex]A = \left|\begin{array}{ccc}-2&2&b\\0&3&a\\0&0&-5\end{array}\right|[/tex]
[tex]|A| = -2\left|\begin{array}{ccc}3&a\\0&-5\\\end{array}\right|-2\left|\begin{array}{ccc}0&a\\ 0 -5\\\end{array}\right|+b\left|\begin{array}{ccc}0&3\\ 0 0 \\\end{array}\right|[/tex]
we know that determinant of matrix
|A| = |ad -bc|
|A| = -2(-15-0)-2(0-0)+b(0-0)
|A| = 30
