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Inverse Matrices - Kuta Software
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Name___________________________________. Period____. Date________________. Inverse Matrices. For each matrix state if an inverse exists. 1). −9 −9.
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
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
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-2-
Worksheet by Kuta Software LLC
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