Matrices - Find Determinant Formula (3x3) (Level 2) - Mobius Math

Find Determinant Formula (3x3) (Level 2)

This math topic focuses on finding the determinant of a 3x3 matrix by expanding the first row. Students are provided with several 3x3 matrices and are asked to select the correct determinant formula from multiple choices. Each question includes an array and several algebraic expressions representing potential solutions for the determinant calculation. This helps reinforce skills in matrix manipulation and determinant computation, important topics in the broader study of matrices.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Find Determinant Formula (3x3)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Choose the correct formula for the determinant of this matrix based on expanding the first row

\left[ {\begin{array} {ccc} 9 & 4 & 4 \\ 8 & 7 & 0 \\ 5 & 3 & 2 \end{array} } \right]

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Matrices - Find Determinant Formula (3x3) Worksheet

Math worksheet on 'Matrices - Find Determinant Formula (3x3) (Level 2)'. Part of a broader unit on 'Matrices' Learn online: app.mobius.academy/math/units/matrices/

Choose the correct formula for the determinant of this matrix based on expanding the first row

$A LaTex expression showing \left[ {\begin{array} {ccc} 2 & 3 & 9 \\ 3 & 2 & 2 \\ 1 & 1 & 3 \end{array} } \right]$

A LaTex expression showing 2 times 4 - 3 times 6 + 9 times 1

A LaTex expression showing 2 times 4 - 3 times 10 + 9 times 1

A LaTex expression showing 1 times 4 - 1 times 7 + 1 times 1

A LaTex expression showing 2 times 2 + 3 times 7 + 9 times 1

A LaTex expression showing 2 times 4 + 3 times 7 + 9 times 1

A LaTex expression showing 2 times 4 - 3 times 7 + 9 times 1

Choose the correct formula for the determinant of this matrix based on expanding the first row

$A LaTex expression showing \left[ {\begin{array} {ccc} 9 & 7 & 0 \\ 5 & 2 & 1 \\ 6 & 3 & 6 \end{array} } \right]$

A LaTex expression showing 9 times 7 - 7 times 24 + 0 times 3

A LaTex expression showing 9 times 9 - 7 times 24 + 0 times 3

A LaTex expression showing 9 times 5 + 7 times 24 + 0 times 3

A LaTex expression showing 9 times 7 + 7 times 17 + 0 times 3

A LaTex expression showing 9 times 9 + 7 times 24 + 0 times 3

A LaTex expression showing 9 times 9 + 7 times 29 + 0 times 3

Choose the correct formula for the determinant of this matrix based on expanding the first row

$A LaTex expression showing \left[ {\begin{array} {ccc} 6 & 4 & 3 \\ 1 & 7 & 5 \\ 1 & 8 & 3 \end{array} } \right]$

A LaTex expression showing - 6 times 19 + 4 times 1 + 3 times 1

A LaTex expression showing - 6 times 19 - 4 times 2 + 3 times 1

A LaTex expression showing - 6 times 19 + 4 times 2 + 3 times 1

A LaTex expression showing - 6 times 21 + 4 times 2 + 3 times 0

A LaTex expression showing - 6 times 29 - 4 times 2 + 3 times 1

A LaTex expression showing - 6 times 27 + 4 times 2 + 3 times 1

Choose the correct formula for the determinant of this matrix based on expanding the first row

$A LaTex expression showing \left[ {\begin{array} {ccc} 8 & 2 & 0 \\ 0 & 8 & 4 \\ 1 & 2 & 6 \end{array} } \right]$

A LaTex expression showing 8 times 32 - 2 times 4 - 0 times 8

A LaTex expression showing 8 times 40 - 2 times 4 - 0 times 8

A LaTex expression showing 8 times 40 + 2 times 4 - 0 times 8

A LaTex expression showing 8 times 24 + 2 times 4 - 0 times 6

A LaTex expression showing 8 times 56 - 2 times 3 - 0 times 8

A LaTex expression showing 8 times 40 + 2 times 5 - 0 times 12

Choose the correct formula for the determinant of this matrix based on expanding the first row

$A LaTex expression showing \left[ {\begin{array} {ccc} 7 & 5 & 4 \\ 8 & 8 & 8 \\ 2 & 4 & 7 \end{array} } \right]$

A LaTex expression showing 7 times 19 + 5 times 24 + 4 times 16

A LaTex expression showing 7 times 22 + 5 times 36 + 4 times 16

A LaTex expression showing 7 times 24 - 5 times 44 + 4 times 22

A LaTex expression showing 7 times 29 + 5 times 24 + 4 times 16

A LaTex expression showing 7 times 24 - 5 times 40 + 4 times 16

A LaTex expression showing 7 times 36 + 5 times 28 + 4 times 16

Choose the correct formula for the determinant of this matrix based on expanding the first row

$A LaTex expression showing \left[ {\begin{array} {ccc} 2 & 9 & 3 \\ 0 & 7 & 2 \\ 5 & 9 & 2 \end{array} } \right]$

A LaTex expression showing - 2 times 4 + 9 times 10 - 3 times 35

A LaTex expression showing - 2 times 5 - 9 times 11 - 3 times 35

A LaTex expression showing - 2 times 4 + 9 times 15 - 3 times 25

A LaTex expression showing - 2 times 4 + 9 times 5 - 3 times 49

A LaTex expression showing - 2 times 3 - 9 times 7 - 3 times 35

A LaTex expression showing - 2 times 6 + 9 times 10 - 3 times 39

Choose the correct formula for the determinant of this matrix based on expanding the first row

$A LaTex expression showing \left[ {\begin{array} {ccc} 6 & 9 & 4 \\ 6 & 0 & 4 \\ 0 & 0 & 7 \end{array} } \right]$

A LaTex expression showing 1 times 0 - 1 times 42 + 1 times 0

A LaTex expression showing 6 times 0 + 9 times 46 + 4 times 0

A LaTex expression showing 6 times 0 + 9 times 38 + 4 times 0

A LaTex expression showing 6 times 0 - 9 times 34 + 4 times 0

A LaTex expression showing 6 times 0 - 9 times 42 + 4 times 0

A LaTex expression showing 6 times 0 - 9 times 46 + 4 times 0