Chapter 11, Problem 33RE

To determine

To find: The value of determinant using the properties.

Answer to Problem 33RE

The, solution of determinant is $-8$ .

Explanation of Solution

Given information:

The given determinant is $\left|\begin{array}{cc}x& y\\ a& b\end{array}\right|=8$

The determinant to solve is $\left|\begin{array}{cc}y& x\\ b& a\end{array}\right|$

Calculation:

Compare the determinant s which are given.

The second determinant can be obtained by swapping the first column and second column of first determinant.

If second determinant can be obtained by swapping the first column and second column of first determinant then the value of determinant is negated.

So the value of determinant can be obtained as

So.

  $\left|\begin{array}{cc}y& x\\ b& a\end{array}\right|=-8$

Therefore, the solution of determinant is $-8$ .