Chapter 4.5, Problem 59HP

To determine

To find: The value of the determinant of a 3x3 matrix.

Answer to Problem 59HP

The value of the determinant of a 3x3 matrix is 0.

Explanation of Solution

Given, The matrix is given as,

  $a_{mn}=\{\begin{array}{l}0\text{ if }m+n\text{ is odd}\\ m+n\text{ if }m+n\text{ is even}\end{array}$

Calculation:

The value of the determinant is 0.

Thus, the value of the determinant of a 3x3 matrix is 0.