Find Determinant (3x3) (Level 1)

This math topic focuses on calculating the determinant of 3x3 matrices. It consists of seven problems, each presenting a different 3x3 matrix. Each problem requires determining the determinant and provides multiple choice answers to select from. The skills practiced include applying the determinant formula for 3x3 matrices and conceptual understanding of matrix properties essential for higher level mathematics focused on linear algebra and systems of equations.

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

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Matrices - Find Determinant (3x3) Worksheet

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Math worksheet on 'Matrices - Find Determinant (3x3) (Level 1)'. Part of a broader unit on 'Matrices' Learn online: app.mobius.academy/math/units/matrices/
1
Find the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {ccc} 9 & 3 & 8 \\ 6 & 5 & 9 \\ 7 & 4 & 0 \end{array} } \right]
a
-178
b
-112
c
-335
d
not defined
e
-223
f
-134
2
Find the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {ccc} 8 & 5 & 5 \\ 5 & 1 & 1 \\ 8 & 7 & 5 \end{array} } \right]
a
not defined
b
24
c
27
d
34
e
51
f
37
3
Find the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {ccc} 5 & 7 & 3 \\ 0 & 0 & 5 \\ 7 & 7 & 3 \end{array} } \right]
a
42
b
70
c
98
d
77
e
105
f
56
4
Find the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 6 & 6 \\ 6 & 6 & 0 \\ 3 & 7 & 7 \end{array} } \right]
a
-151
b
-65
c
-140
d
-108
e
-130
f
-86
5
Find the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 5 & 8 \\ 9 & 9 & 0 \\ 0 & 2 & 8 \end{array} } \right]
a
-216
b
-238
c
-324
d
not defined
e
-173
f
-151
6
Find the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {ccc} 2 & 8 & 2 \\ 6 & 3 & 3 \\ 4 & 8 & 8 \end{array} } \right]
a
-302
b
not defined
c
-238
d
-281
e
-216
f
-130
7
Find the determinant of this matrix
A LaTex expression showing \left[ {\begin{array} {ccc} 9 & 6 & 0 \\ 8 & 1 & 0 \\ 5 & 7 & 2 \end{array} } \right]
a
-109
b
-47
c
-78
d
-117
e
-39
f
-86
Matrices - Find Determinant (3x3) (Level 1) - Mobius Math