Question

16. Find the determinant of K.

A. 913

B. 1

C. 671

D. 597

Answer 1

D. 597

Explanation:

This question is on finding the inverse of a 3×3 matrix

The general formula of finding a 3×3 matrix is given by;

`A=\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right] = a.D\left[\begin{array}{ccc}e&f&\\h&i&\\&&\end{array}\right] -b.D\left[\begin{array}{ccc}d&f&\\g&i&\\&&\end{array}\right] + c.D\left[\begin{array}{ccc}d&e&\\g&h&\\&&\end{array}\right]`

where D is determinant

Given ;

= 14 [ 40-2] - -13[ 15-10] + 0

=14 [38] - [-65]+0

=532+65

=597