Find Determinant Formula (3x3) (Level 1)
This math topic focuses on practicing the calculation of the determinant for 3x3 matrices. Specifically, students learn to expand along the first row using the formula for the determinant. Each problem involves choosing the correct application of this formula to specific matrices. The problems serve as a component of a broader unit on matrices, aimed at improving students' skills in matrix algebra, specifically in calculating determinants of 3x3 matrices.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
moreMatrices - Find Determinant Formula (3x3) Worksheet
| Math worksheet on 'Matrices - Find Determinant Formula (3x3) (Level 1)'. Part of a broader unit on 'Matrices' Learn online: app.mobius.academy/math/units/matrices/ |
1
![A LaTex expression showing \begin{vmatrix}D\end{vmatrix} = a sub 11 times \begin{vmatrix}M sub 11 \end{vmatrix} - a sub 12 times \begin{vmatrix}M sub 12 \end{vmatrix} + a sub 13 times \begin{vmatrix}M sub 13 \end{vmatrix} \\D = \left[ {\begin{array} {ccc} 5 & 4 & 3 \\ 0 & 4 & 1 \\ 9 & 6 & 0 \end{array} } \right]](https://api.mobius.academy/storedimages/4057206/render)
| Choose the correct formula for the determinant of this matrix based on expanding the first row |
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2
![A LaTex expression showing \begin{vmatrix}D\end{vmatrix} = a sub 11 times \begin{vmatrix}M sub 11 \end{vmatrix} - a sub 12 times \begin{vmatrix}M sub 12 \end{vmatrix} + a sub 13 times \begin{vmatrix}M sub 13 \end{vmatrix} \\D = \left[ {\begin{array} {ccc} 1 & 7 & 9 \\ 4 & 5 & 7 \\ 9 & 0 & 6 \end{array} } \right]](https://api.mobius.academy/storedimages/4057202/render)
| Choose the correct formula for the determinant of this matrix based on expanding the first row |
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3
![A LaTex expression showing \begin{vmatrix}B\end{vmatrix} = a sub 11 times \begin{vmatrix}M sub 11 \end{vmatrix} - a sub 12 times \begin{vmatrix}M sub 12 \end{vmatrix} + a sub 13 times \begin{vmatrix}M sub 13 \end{vmatrix} \\B = \left[ {\begin{array} {ccc} 7 & 6 & 0 \\ 4 & 4 & 1 \\ 6 & 4 & 4 \end{array} } \right]](https://api.mobius.academy/storedimages/4057204/render)
| Choose the correct formula for the determinant of this matrix based on expanding the first row |
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4
![A LaTex expression showing \begin{vmatrix}N\end{vmatrix} = a sub 11 times \begin{vmatrix}M sub 11 \end{vmatrix} - a sub 12 times \begin{vmatrix}M sub 12 \end{vmatrix} + a sub 13 times \begin{vmatrix}M sub 13 \end{vmatrix} \\N = \left[ {\begin{array} {ccc} 9 & 8 & 0 \\ 8 & 5 & 5 \\ 7 & 5 & 0 \end{array} } \right]](https://api.mobius.academy/storedimages/4056996/render)
| Choose the correct formula for the determinant of this matrix based on expanding the first row |
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5
![A LaTex expression showing \begin{vmatrix}Y\end{vmatrix} = a sub 11 times \begin{vmatrix}M sub 11 \end{vmatrix} - a sub 12 times \begin{vmatrix}M sub 12 \end{vmatrix} + a sub 13 times \begin{vmatrix}M sub 13 \end{vmatrix} \\Y = \left[ {\begin{array} {ccc} 0 & 4 & 3 \\ 2 & 1 & 7 \\ 7 & 1 & 5 \end{array} } \right]](https://api.mobius.academy/storedimages/4058181/render)
| Choose the correct formula for the determinant of this matrix based on expanding the first row |
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6
![A LaTex expression showing \begin{vmatrix}R\end{vmatrix} = a sub 11 times \begin{vmatrix}M sub 11 \end{vmatrix} - a sub 12 times \begin{vmatrix}M sub 12 \end{vmatrix} + a sub 13 times \begin{vmatrix}M sub 13 \end{vmatrix} \\R = \left[ {\begin{array} {ccc} 4 & 2 & 4 \\ 5 & 6 & 3 \\ 1 & 8 & 3 \end{array} } \right]](https://api.mobius.academy/storedimages/4058440/render)
| Choose the correct formula for the determinant of this matrix based on expanding the first row |
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7
![A LaTex expression showing \begin{vmatrix}N\end{vmatrix} = a sub 11 times \begin{vmatrix}M sub 11 \end{vmatrix} - a sub 12 times \begin{vmatrix}M sub 12 \end{vmatrix} + a sub 13 times \begin{vmatrix}M sub 13 \end{vmatrix} \\N = \left[ {\begin{array} {ccc} 1 & 9 & 5 \\ 8 & 9 & 7 \\ 3 & 6 & 1 \end{array} } \right]](https://api.mobius.academy/storedimages/4058178/render)
| Choose the correct formula for the determinant of this matrix based on expanding the first row |
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