Matrices - Find Determinant Formula (2x2) (Level 1)

Find Determinant Formula (2x2) (Level 1)

This math topic focuses on practicing the calculation of the determinant of 2x2 matrices. Learners are required to choose the correct determinant formula for various provided matrices. Each question presents a matrix along with multiple choices expressing different calculations. The objective is to identify the formula that correctly calculates the determinant based on the standard definition, which involves multiplying the elements of the main diagonal and subtracting the product of the elements of the other diagonal. This topic helps strengthen understanding of matrix operations, particularly determinants.

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

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Find Determinant Formula (2x2)

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

\begin{vmatrix}R\end{vmatrix} = a_{11} \cdot a_{22} - a_{12} \cdot a_{21} \\R = \left[ {\begin{array} {cc} 7 & 6 \\ 6 & 6 \end{array} } \right]

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Matrices - Find Determinant Formula (2x2) Worksheet

Math worksheet on 'Matrices - Find Determinant Formula (2x2) (Level 1)'. 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

$A LaTex expression showing \begin{vmatrix}N\end{vmatrix} = a sub 11 times a sub 22 - a sub 12 times a sub 21 \\N = \left[ {\begin{array} {cc} 7 & 2 \\ 2 & 2 \end{array} } \right]$

A LaTex expression showing 2 times 2 - 2 times 2

A LaTex expression showing 7 times 2 + 2 times 7

A LaTex expression showing 7 times 2 - 7 times 2

A LaTex expression showing 7 times 2 + 2 times 2

Choose the correct formula for the determinant of this matrix

$A LaTex expression showing \begin{vmatrix}D\end{vmatrix} = a sub 11 times a sub 22 - a sub 12 times a sub 21 \\D = \left[ {\begin{array} {cc} 2 & 5 \\ 3 & 7 \end{array} } \right]$

A LaTex expression showing 2 times 7 + 5 times 3

A LaTex expression showing 3 times 7 + 7 times 3

A LaTex expression showing 2 times 5 - 7 times 3

A LaTex expression showing 7 times 5 + 7 times 3

A LaTex expression showing 3 times 5 + 5 times 5

Choose the correct formula for the determinant of this matrix

$A LaTex expression showing \begin{vmatrix}Y\end{vmatrix} = a sub 11 times a sub 22 - a sub 12 times a sub 21 \\Y = \left[ {\begin{array} {cc} 1 & 8 \\ 1 & 7 \end{array} } \right]$

A LaTex expression showing 1 times 7 - 8 times 1

A LaTex expression showing 1 times 8 - 1 times 7

A LaTex expression showing 1 times 1 + 7 times 8

A LaTex expression showing 1 times 1 + 8 times 1

A LaTex expression showing 8 times 1 + 1 times 1

Choose the correct formula for the determinant of this matrix

$A LaTex expression showing \begin{vmatrix}B\end{vmatrix} = a sub 11 times a sub 22 - a sub 12 times a sub 21 \\B = \left[ {\begin{array} {cc} 9 & 2 \\ 7 & 8 \end{array} } \right]$

A LaTex expression showing 7 times 8 + 2 times 2

A LaTex expression showing 9 times 7 - 2 times 8

A LaTex expression showing 9 times 8 - 2 times 7

A LaTex expression showing 9 times 9 + 9 times 2

A LaTex expression showing 7 times 9 - 2 times 8

A LaTex expression showing 2 times 9 + 2 times 8

Choose the correct formula for the determinant of this matrix

$A LaTex expression showing \begin{vmatrix}C\end{vmatrix} = a sub 11 times a sub 22 - a sub 12 times a sub 21 \\C = \left[ {\begin{array} {cc} 4 & 3 \\ 7 & 5 \end{array} } \right]$

A LaTex expression showing 3 times 5 - 5 times 4

A LaTex expression showing 4 times 5 - 3 times 7

A LaTex expression showing 3 times 7 - 5 times 5

A LaTex expression showing 4 times 5 + 4 times 7

A LaTex expression showing 4 times 3 - 5 times 7

Choose the correct formula for the determinant of this matrix

$A LaTex expression showing \begin{vmatrix}Y\end{vmatrix} = a sub 11 times a sub 22 - a sub 12 times a sub 21 \\Y = \left[ {\begin{array} {cc} 2 & 0 \\ 7 & 7 \end{array} } \right]$

A LaTex expression showing 2 times 7 + 7 times 0

A LaTex expression showing 2 times 0 - 7 times 0

A LaTex expression showing 2 times 0 - 7 times 7

A LaTex expression showing 2 times 7 - 0 times 7

A LaTex expression showing 7 times 0 + 2 times 0

Choose the correct formula for the determinant of this matrix

$A LaTex expression showing \begin{vmatrix}X\end{vmatrix} = a sub 11 times a sub 22 - a sub 12 times a sub 21 \\X = \left[ {\begin{array} {cc} 1 & 9 \\ 9 & 9 \end{array} } \right]$

A LaTex expression showing 9 times 9 - 9 times 1

A LaTex expression showing 1 times 9 - 1 times 9

A LaTex expression showing 1 times 9 + 9 times 1

A LaTex expression showing 1 times 9 - 9 times 9

A LaTex expression showing 9 times 9 + 9 times 9

Practice:

Find Determinant Formula (2x2)

Matrices - Find Determinant Formula (2x2) Worksheet