Matrix Inverses and Determinants Date Period - Kuta Software

Kuta Software - Infinite Precalculus

Matrix Inverses and Determinants

Evaluate each determinant.

1)

Name___________________________________ Date________________ Period____

2)

3)

4)

5)

6)

7)

8)

For each matrix state if an inverse exists.

9)

10)

-1-

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Worksheet by Kuta Software LLC

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 .

-2-

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Precalculus

Matrix Inverses and Determinants

Evaluate each determinant.

1)

Name___________________________________ Date________________ Period____

2)

3)

4)

5)

6)

7)

8)

For each matrix state if an inverse exists.

9) No

10)

Yes

-1-

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Worksheet by Kuta Software LLC

Find the inverse of each matrix.

11)

13)

For each matrix state if an inverse exists.

15)

Yes

12)

14)

16)

Yes

Find the inverse of each matrix.

17)

Critical thinking questions:

19) For what value(s) of x does the matrix M

have an inverse?

M

x

x

All values except and

18)

20) Give an example of a 3?3 matrix that has a determinant of .

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-2-

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Worksheet by Kuta Software LLC

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