Kuta Software - Infinite Algebra 2
Name___________________________________
Determinants of 3×3 Matrices
Date________________ Period____
Evaluate the determinant of each matrix.
1)
3
3
3
−2
−1
−2
1
−2
−3
2)
−3
0
3
2
−1
0
−3
−1
−3
4)
−6
3
4
−6
−5
3
1
−2
−3
6)
−2
0
−5
5
−3
5
−4
5
−6
8)
6
−5
1
5
4
−4
−3
−2
5
5
9
5
5
−3
9
Evaluate each determinant.
3)
5
−4
5
3
−5
3
3
1
0
5)
6
−5
3
2
−4
−3
−1
−5
1
7)
3
−4
1
4
6
−4
5
3
3
9)
−1
4
−10
11)
0
0
0
−8
12
3
a
c
x
9
−7
2
b
d
y
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10)
−5
−8
8
12) What value of x makes the determinant −4?
−2 0 0
−6 x 1
−4 0 −1
Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
Determinants of 3×3 Matrices
Date________________ Period____
Evaluate the determinant of each matrix.
1)
3
3
3
−2
−1
−2
1
−2
−3
2)
−12
−3
0
3
2
−1
0
−3
−1
−3
−6
−5
3
1
−2
−3
−24
Evaluate each determinant.
3)
5
−4
5
3
−5
3
3
1
0
4)
39
5)
6
−5
3
−103
2
−4
−3
−1
−5
1
6)
−161
7)
3
−4
1
4
6
−4
5
3
3
8)
−8
12
3
9
−7
2
647
11)
5
−3
5
−4
5
−6
6
−5
1
5
4
−4
−3
−2
5
5
9
5
5
−3
9
139
−1
4
−10
0
0
0
−2
0
−5
−51
200
9)
−6
3
4
10)
−5
−8
8
−800
a
c
x
b
d
y
12) What value of x makes the determinant −4?
−2 0 0
−6 x 1
−4 0 −1
0
−2
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Worksheet by Kuta Software LLC