Name:			Date:
Evaluate Determinants of 3x3 Matrices

1) $\left[\begin{array}{ccc}-3& 4& -6\\ 2& -3& -4\\ 0& 2& 0\end{array}\right]$	2) $\left|\begin{array}{ccc}-3& 6& 2\\ -4& 2& -5\\ 4& 5& 6\end{array}\right|$
3) $\left|\begin{array}{ccc}4& 5& 6\\ -7& 4& 4\\ 10& -2& 3\end{array}\right|$	4) $\left|\begin{array}{ccc}7& 4& 3\\ -2& -4& 3\\ 4& 0& 5\end{array}\right|$
5) $\left|\begin{array}{ccc}-4& -7& 2\\ 3& -4& -3\\ 6& 3& -2\end{array}\right|$	6) $\text{what value of z makes the determinant}-12\left|\begin{array}{ccc}0& 0& 6\\ -7& 4& 0\\ \mathrm{-z}& 2& -4\end{array}\right|$
7) $\left[\begin{array}{ccc}-5& 3& -1\\ 4& -3& -2\\ 0& 4& -1\end{array}\right]$	8) $\left[\begin{array}{ccc}4& -3& 2\\ 4& -2& -3\\ 3& -4& -7\end{array}\right]$
9) $\left|\begin{array}{ccc}-2& -4& 3\\ 6& 3& -2\\ -8& 3& 2\end{array}\right|$	10) $\left|\begin{array}{ccc}-3& 4& -2\\ 0& -2& 3\\ -4& 1& -2\end{array}\right|$
11) $\left|\begin{array}{ccc}-10& 2& -1\\ 3& 0& 2\\ -7& 4& -2\end{array}\right|$	12) $\left[\begin{array}{ccc}6& -3& 3\\ 4& -4& -1\\ 3& -2& -3\end{array}\right]$
13) $\left|\begin{array}{ccc}4& 2& -1\\ -4& -3& -2\\ 2& -1& 3\end{array}\right|$	14) $\left|\begin{array}{ccc}2& 3& -4\\ -1& 2& -1\\ 1& -2& 3\end{array}\right|$
15) $\left|\begin{array}{ccc}4& 6& -2\\ -3& -1& -4\\ 2& -3& 4\end{array}\right|$	16) $\left|\begin{array}{ccc}6& 4& -1\\ -2& -4& -5\\ 3& -6& 3\end{array}\right|$
17) $\left|\begin{array}{ccc}3& 2& -4\\ -6& -2& -8\\ 3& -2& 5\end{array}\right|$	18) $\left|\begin{array}{ccc}6& 4& -3\\ -1& -4& -3\\ 2& -3& 5\end{array}\right|$
19) $\left|\begin{array}{ccc}-8& 3& -4\\ 2& 0& 4\\ -6& 3& -2\end{array}\right|$	20) $\left|\begin{array}{ccc}10& 4& -1\\ -4& 3& -1\\ 7& -2& 6\end{array}\right|$

 

Answers:

1) $-48$	2) $-143$
3) $229$	4) $-4$
5) $82$	6) $3$
7) $-59$	8) $-69$
9) $86$	10) $-35$
11) $52$	12) $45$
13) $-38$	14) $14$
15) $-62$	16) $-312$
17) $-138$	18) $-211$
19) $12$	20) $241$