# Determinant of 3×3 Matrix Practice Problems with Answers

Use the following ten (10) practice problems to get better at solving the Determinant of a 3×3 Matrix. With practice, you’ll get better at it until it becomes second nature.

You may use these problems for independent practice, homework, cooperative learning, and more!

Problem 1: Find the determinant of the 3×3 matrix below.

\begin{bmatrix} 7 & -4 & 2 \\ 3 & 1 & -5 \\ 2 & 2 & -5 \end{bmatrix}

Problem 2: Find the determinant of the 3×3 matrix below.

\begin{bmatrix} 1 & -6 & -7 \\ 1 & -4 & 7 \\ -1 & -3 & -6 \end{bmatrix}

Problem 3: Find the determinant of the 3×3 matrix below.

\begin{bmatrix} -1 & -1 & -1 \\ 4 & 5 & -3 \\ -1 & -6 & 3 \end{bmatrix}

Problem 4: Calculate the determinant of the 3×3 matrix below.

\begin{bmatrix} 7 & 5 & 7 \\ 6 & -5 & -5 \\ 6 & 2 & 3 \end{bmatrix}

Problem 5: Calculate the determinant of the 3×3 matrix below.

\begin{bmatrix} 4 & -6 & 4 \\ -4 & -7 & -5 \\ 2 & 7 & 3 \end{bmatrix}

Problem 6: Calculate the determinant of the 3×3 matrix below.

\begin{bmatrix} -1 & -3 & 4 \\ -1 & 2 & 6 \\ -3 & -7 & 2 \end{bmatrix}

Problem 7: Determine the determinant of the 3×3 matrix below.

\begin{bmatrix} 2 & 7 & 5 \\ 1 & 2 & 5 \\ 0 & 0 & -4 \end{bmatrix}

Problem 8: Determine the determinant of the 3×3 matrix below.

\begin{bmatrix} 1 & -2 & 2 \\ -5 & -1 & 5 \\ 4 & -1 & 0 \end{bmatrix}

Problem 9: Compute the determinant of the 3×3 matrix below.

\begin{bmatrix} -5 & 2 & -3 \\ -2 & -1 & -5 \\ 5 & -5 & -3 \end{bmatrix}