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Math
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Algebra 2
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Matrices, in Depth
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Determinants and Matrix Inverses
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Matrix Determinants
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Computing Determinants of 2×2 or 3×3 Matrices
Practice problem
Computing Determinants of 2×2 or 3×3 Matrices
By
C
Cameron Montag
+2 contributors
Contributors
C
Cameron Montag
M
Moor Xu
Alex Federspiel
∣
x
2
2
4
1
∣
=
∣
1
−
1
−
2
x
∣
≠
1
\begin{vmatrix} x^2 & 2 \\ 4 & 1 \end{vmatrix} = \begin{vmatrix} 1 & -1 \\ -2 & x \end{vmatrix} \neq 1
x
2
4
2
1
=
1
−
2
−
1
x
=
1
Find
x
x
x
.
Choose one answer
Option A:
A
−
2
-2
−
2
Option B:
B
−
1
-1
−
1
Option C:
C
0
0
0
Option D:
D
1
1
1
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