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Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Matrix Inverses and Determinants
Name___________________________________
Date________________ Period____
-1-
Evaluate each determinant.
1)
2)
3)
4)
5)
6)
7)
8)
For each matrix state if an inverse exists.
9)
10)
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Worksheet by Kuta Software LLC
-2-
Find the inverse of each matrix.
11)
12)
13)
14)
For each matrix state if an inverse exists.
15)
16)
Find the inverse of each matrix.
17)
18)
Critical thinking questions:
19) For what value(s) of x does the matrix M have an inverse?
M x
x
20) Give an example of a 3×3 matrix that has a determinant of .
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Matrix Inverses and Determinants
Name___________________________________
Date________________ Period____
-1-
Evaluate each determinant.
1)
2)
3)
4)
5)
6)
7)
8)
For each matrix state if an inverse exists.
9)
No
10)
Yes
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Worksheet by Kuta Software LLC
-2-
Find the inverse of each matrix.
11)
12)
13)
14)
For each matrix state if an inverse exists.
15)
Yes
16)
Yes
Find the inverse of each matrix.
17)
18)
Critical thinking questions:
19) For what value(s) of x does the matrix M have an inverse?
M x
x
All values except and
20) Give an example of a 3×3 matrix that has a determinant of .
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