Determinants of 3×3 Matrices Date Period

Kuta Software - Infinite Algebra 2

Determinants of 3?3 Matrices

Evaluate the determinant of each matrix.

3 -2 1 1) 3 -1 -2

3 -2 -3

Name___________________________________ Date________________ Period____

-3 2 -3 2) 0 -1 -1

3 0 -3

Evaluate each determinant.

5 33 3) -4 -5 1

5 30

-6 -6 1 4) 3 -5 -2

4 3 -3

6 2 -1 5) -5 -4 -5

3 -3 1

-2 5 -4 6) 0 -3 5

-5 5 -6

3 45 7) -4 6 3

1 -4 3

6 5 -3 8) -5 4 -2

1 -4 5

-1 -8 9 9) 4 12 -7

-10 3 2

-5 5 5 10) -8 9 -3

859

0 a b 11) 0 c d

0x y

12) What value of x makes the determinant -4? -2 0 0 -6 x 1 -4 0 -1

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Determinants of 3?3 Matrices

Evaluate the determinant of each matrix. 3 -2 1

1) 3 -1 -2 3 -2 -3 -12

Evaluate each determinant. 5 33

3) -4 -5 1 5 30 39

Name___________________________________ Date________________ Period____

-3 2 -3 2) 0 -1 -1

3 0 -3 -24

-6 -6 1 4) 3 -5 -2

4 3 -3 -103

6 2 -1 5) -5 -4 -5

3 -3 1

-161

-2 5 -4 6) 0 -3 5

-5 5 -6

-51

3 45 7) -4 6 3

1 -4 3

200

6 5 -3 8) -5 4 -2

1 -4 5

139

-1 -8 9 9) 4 12 -7

-10 3 2

647

-5 5 5 10) -8 9 -3

859

-800

0 a b 11) 0 c d

0x y

0

12) What value of x makes the determinant -4? -2 0 0 -6 x 1 -4 0 -1

-2

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Worksheet by Kuta Software LLC

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