Find Determinant Formula (2x2) (Level 2)

This math topic focuses on the calculation of the determinant of 2x2 matrices. Students practice identifying the correct determinant formula for various 2x2 matrices presented. The problems require familiarity with the concept of the determinant, and the ability to apply the determinant formula correctly by associating given matrices with their determinants presented in multiple-choice format. Each question displays a matrix and challenges the learner to choose the correct determinant expression from multiple options.

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

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Find Determinant Formula (2x2)

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Choose the correct formula for the determinant of this matrix

[0312]\left[ {\begin{array} {cc} 0 & 3 \\ 1 & 2 \end{array} } \right]

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Matrices - Find Determinant Formula (2x2) Worksheet

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Math worksheet on 'Matrices - Find Determinant Formula (2x2) (Level 2)'. Part of a broader unit on 'Matrices' Learn online: app.mobius.academy/math/units/matrices/
1
Choose the correct formula for the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {cc} 0 & 3 \\ 1 & 2 \end{array} } \right]
a A LaTex expression showing 0 times 1 - 3 times 2
b A LaTex expression showing 0 times 2 - 3 times 1
c A LaTex expression showing 3 times 3 + 3 times 3
d A LaTex expression showing 2 times 0 - 3 times 3
e A LaTex expression showing 3 times 2 + 0 times 2
f A LaTex expression showing 0 times 3 - 2 times 1
2
Choose the correct formula for the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {cc} 2 & 5 \\ 6 & 7 \end{array} } \right]
a A LaTex expression showing 5 times 5 + 2 times 6
b A LaTex expression showing 2 times 6 - 5 times 7
c A LaTex expression showing 5 times 6 + 5 times 7
d A LaTex expression showing 2 times 7 - 5 times 6
e A LaTex expression showing 6 times 5 + 5 times 7
f A LaTex expression showing 2 times 7 + 7 times 5
3
Choose the correct formula for the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {cc} 9 & 3 \\ 3 & 3 \end{array} } \right]
a A LaTex expression showing 3 times 9 + 9 times 9
b A LaTex expression showing 3 times 9 + 3 times 3
c A LaTex expression showing 3 times 3 + 3 times 9
d A LaTex expression showing 9 times 3 + 3 times 3
e A LaTex expression showing 9 times 3 - 3 times 3
f A LaTex expression showing 3 times 3 - 3 times 3
4
Choose the correct formula for the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {cc} 0 & 9 \\ 4 & 1 \end{array} } \right]
a A LaTex expression showing 4 times 1 - 0 times 0
b A LaTex expression showing 1 times 1 - 4 times 0
c A LaTex expression showing 9 times 0 + 0 times 4
d A LaTex expression showing 0 times 1 + 9 times 4
e A LaTex expression showing 0 times 1 - 9 times 4
f A LaTex expression showing 0 times 0 - 9 times 9
5
Choose the correct formula for the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {cc} 5 & 1 \\ 5 & 0 \end{array} } \right]
a A LaTex expression showing 1 times 5 + 1 times 5
b A LaTex expression showing 0 times 5 + 1 times 0
c A LaTex expression showing 5 times 0 + 5 times 1
d A LaTex expression showing 0 times 1 - 0 times 5
e A LaTex expression showing 1 times 0 - 0 times 5
f A LaTex expression showing 5 times 0 - 1 times 5
6
Choose the correct formula for the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {cc} 0 & 3 \\ 8 & 1 \end{array} } \right]
a A LaTex expression showing 1 times 3 + 3 times 8
b A LaTex expression showing 0 times 1 - 3 times 8
c A LaTex expression showing 0 times 8 - 3 times 1
d A LaTex expression showing 0 times 0 - 1 times 0
e A LaTex expression showing 0 times 3 - 1 times 8
f A LaTex expression showing 0 times 1 + 0 times 0
7
Choose the correct formula for the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {cc} 5 & 9 \\ 4 & 5 \end{array} } \right]
a A LaTex expression showing 9 times 4 - 5 times 5
b A LaTex expression showing 5 times 5 - 9 times 4
c A LaTex expression showing 9 times 9 - 9 times 5
d A LaTex expression showing 4 times 9 - 9 times 4
e A LaTex expression showing 5 times 5 + 9 times 4
f A LaTex expression showing 5 times 5 - 5 times 5