Chapter A1, Problem 17PE

Evaluate the determinant of matrix B, using expansion by minors. (See Exercises 3-4.)

$\text{B=}\left[\begin{array}{ccc}0& 1& 2\\ 3& -1& 2\\ 3& 2& -2\end{array}\right]$

a. About the first column

b. About the second row

Example 3

Evaluating a $3\times 3$Determinant.

Evaluate the determinant $\left|\begin{array}{ccc}2& 4& 2\\ 1& -3& 0\\ -5& 5& -1\end{array}\right|$

Example 4

Evaluating a $3\times 3$Determinant

Evaluate the determinant by expanding minors about the elements in the second row.

$\left|\begin{array}{ccc}2& 4& 2\\ 1& -3& 0\\ -5& 5& -1\end{array}\right|$