Question

What is the determinant of a=

Answer 1

c) 30

The determinant of Given Matrix |A| = 30

Explanation:

Explanation:-

Given Matrix

`A = \left[\begin{array}{ccc}-2&2&b\\0&3&a\\0&0&-5\end{array}\right]`

The determinant of |A|

`A = \left|\begin{array}{ccc}-2&2&b\\0&3&a\\0&0&-5\end{array}\right|`

`|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|`

we know that determinant of matrix

|A| = |ad -bc|

|A| = -2(-15-0)-2(0-0)+b(0-0)

|A| = 30