Kuta Software - Infinite Algebra 2
Name___________________________________
Inverse Matrices
Date________________ Period____
For each matrix state if an inverse exists.
1)
−9
−2
−9
−2
2)
−2
−6
1
1
3)
4
−9
−5
6
4)
0
−6
0
4
Find the inverse of each matrix.
5)
11
2
−5
−1
6)
0
−1
−2
−9
7)
−1
−1
7
7
8)
1
−6
−1
−3
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-1-
Worksheet by Kuta Software LLC
9)
3
−4
11)
−9
−5
13)
2
−11
15)
−2
−9
−2
6
−6
−4
−10
8
2
8
10)
−6
−4
11
7
12)
5
6
14)
−2
6
−2
8
16)
−3
8
3
7
−8
−9
Critical thinking questions:
17) Give an example of a 2×2 matrix with
no inverse.
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18) Give an example of a matrix which is its
own inverse (that is, where A −1 = A)
-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
Inverse Matrices
Date________________ Period____
For each matrix state if an inverse exists.
1)
−9
−2
−9
−2
2)
No
3)
4
−9
−2
−6
1
1
Yes
−5
6
4)
Yes
0
−6
0
4
No
Find the inverse of each matrix.
5)
11
2
1
2
7)
−1
−1
−5
−1
6)
−5
−11
7
7
−2
−9
9
2
1
−
2
8)
No inverse exists
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0
−1
1
−6
1
3
2
−
3
-1-
−1
0
−1
−3
1
9
1
−
9
−
Worksheet by Kuta Software LLC
9)
11)
3
−4
−2
6
10)
3
5
2
5
1
5
3
10
−9
−5
−6
−4
2
3
5
6
−
13)
12)
−
4
47
11
−
94
3
2
14)
5
47
1
−
47
2
8
4
9
2
−1
11
2
−3
−
−8
−9
−2
−
−2
−9
5
6
11
7
−3
−10
8
−
15)
7
2
2
1
2
−11
−6
−4
8
3
5
3
−2
6
−2
8
−2
−
1
2
1
2
3
2
16)
−3
8
7
45
8
45
−
−1
3
7
1
15
1
15
Critical thinking questions:
17) Give an example of a 2×2 matrix with
no inverse.
Many answers. Ex:
1
2
18) Give an example of a matrix which is its
own inverse (that is, where A −1 = A)
2
4
Many answers. Ex:
−10
−11
9
10
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-2-
Worksheet by Kuta Software LLC