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Worksheet by Kuta Software LLC

Pre Calculus

Matrix Operations Notes

Name___________________________________

Date________________ Period____

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Simplify. Write "undefined" for expressions that are undefined.

1) 2

6

0

+

-2

2

-2

2) x 2y4 -3xyy 6x

-

2 x1 - 6x -y

-6 -2

3) -2

5 6

-2 -2

-5 -2

4) 4x -y 1 + 2y x2 y - 5

5) 0

-5 - 5

-3

-66) 6 0 +

-5

-5

7) t 5tr

-3s - 1 -6s - 3s

r + 2 2r-5 + r 0 8)

-2 -1

1 -4

-4 6

× -5 4

-2 3

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Worksheet by Kuta Software LLC

9) 1 3 0

-6 -2 -6 ×

-3 -3

-5 3

-5 -6

10) 5x -2x6 -3

× -5y x 6

4y -6y 2x

11) 2 -5 1

-3 1 1 ×

2 2

-1 0

3 2

+ 5 3

0 212)

6 ab a2

0 ba ×

2b b2

-4b 0 -

4ab - 2 -5a-1 b2

-6a -b

13)

1

-1

0

1

- -1 2 0

6 4 3 ×

5 3

2 -6

-4 0

14) yx -3x

-3x -3y × (-4

0 -4 x-6x2 y2 -5y )

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Worksheet by Kuta Software LLC

Pre Calculus

Matrix Operations Notes

Name___________________________________

Date________________ Period____

©B A2_0\1w6\ vK\uhtlaq [SaolfrtBwyairAeR oLjLqCc.n K jA]lwlY _rficgjhBtssJ CrzeasAeorKvWecdR.

Simplify. Write "undefined" for expressions that are undefined.

1) 2

6

0

+

-2

2

-2

0

8

-2

2) x 2y4 -3xyy 6x

-

2 x1 - 6x -y

-6 -2

x - 2 2y - x3 + 6x -3xy + yy + 6 6x + 2

3) -2

5 6

-2 -2

-5 -2

-10 -12

4 4

10 4

4) 4x -y 1 + 2y x2 y - 5

-4xy 4x + 8xy 4x3 4xy - 20x

5) 0

-5 - 5

-3

-6

15

25

6) 6 0 + -5

-5

Undefined

7) t 5tr

-3s - 1 -6s - 3s

r + 2 2r-5 + r 0

t - 3sr - 6s 5tr - 6sr12s - 1 - 3sr -6s

8) -2 -1

1 -4

-4 6

× -5 4

-2 3

12 -11

3 -8

8 2

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Worksheet by Kuta Software LLC

9) 1 3 0

-6 -2 -6 ×

-3 -3

-5 3

-5 -6

-18 6

58 48

10) 5x -2x6 -3

× -5y x 6

4y -6y 2x

-33xy 5x2 + 12xy 30x - 4x2

-42y 6x + 18y 36 - 6x

11) 2 -5 1

-3 1 1 ×

2 2

-1 0

3 2

+ 5 3

0 2

17 9

-4 -2

12) 6 ab a2

0 ba ×

2b b2

-4b 0 -

4ab - 2 -5a-1 b2

-6a -b

12b - 8ab + 2 6b2 + 5a2b2 - 4a2b + 1 b3 - b2

-4b2a + 6a b

13)

1

-1

0

1

- -1 2 0

6 4 3 ×

5 3

2 -6

-4 0

Undefined

14) yx -3x

-3x -3y × (-4

0 -4 x-6x2 y2 -5y )

-72x3 16yx + 12xy2 -4yx2 - 60xy-72yx2 -48x + 12y3 12x2 - 60y2