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Basic Matrix OperationsSimplify. Write "undefined" for expressions that are undefined.

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Kuta Software - Infinite Algebra 2 Name___________________________________

Period____

Date________________

Basic Matrix Operations

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

1)

3 6

−1 −3

−5 −1 +

0 −1

6 0

2 3

2) −5 2 −2

4 −2 0 − 6 −5 −6

1 3 −3

3) −5 5 6 −4

4 −2 −1 4) −5 −3 0

0 5

5) 4 2 + −2 −6

6) 5 4 3

7) −5 1 −2 −1 2

8) 5

5 1

1 −2

1 2

9) −2u 7u 3w2 5u 5

10) 2 4 + 5

6

11) 4

−4 3

−5

12) −4n

n + m

−2n −4n

+ 4 −5 3m 0

-1-

(2)

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13) 2 −5 −3 + 1 −2 −3

14)

x + y

x − 6 + −5

−6xy

15) 4c 0 6 0 3a

16) −3y

−2xy

−4y −3x

17) 3 2u v2

u

18)

x − 1 −2x −5yy −2 −3x

19)

−6r + t

r 6s

+ 6r

−4t

−3r + 2 20)

z − 5

−6

−1 − 6z 3y

+

−3y 3z

5 + z 4z

21)

5 6 1 2 −6 − 1 6 −6 6 22) −5

(

0 −2 5 + 2 0 2

)

23)

5 3

5 1 − −6 0

1 −4 − 5 4

−2 −6 24)

1 1

6 −4

0 0

+ 5

−4 6

1 1

−4 −1

-2-

(3)

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Kuta Software - Infinite Algebra 2 Name___________________________________

Period____

Date________________

Basic Matrix Operations

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

1)

3 6

−1 −3

−5 −1 +

0 −1

6 0

2 3

3 5

5 −3

−3 2

2) −5 2 −2

4 −2 0 − 6 −5 −6

1 3 −3

−11 7 4

3 −5 3

3) −5 5 6 −4

4 −2 −1

−25 −30 20

−20 10 5

4) −5 −3 0

0 5

15 0 0 −25

5) 4 2 + −2 −6 2 −4

6) 5 4 3

20 15

7) −5 1 −2 −1 2

−5 10 5 −10 8) 5

5 1

1 −2

1 2

25 5 5 −10 5 10

9) −2u 7u 3w2 5u 5

−14u2 −6uw2 −10u2 −10u

10) 2 4 + 5

6 7 10

11) 4

−4 3

−5

−16 12

−20

12) −4n

n + m

−2n −4n

+ 4 −5 3m 0

−4n + 4 n + m − 5

−2n + 3m −4n

-1-

(4)

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13) 2 −5 −3 + 1 −2 −3 3 −7 −6

14)

x + y

x − 6 + −5

−6xy x + y − 5 x − 6 − 6xy

15) 4c 0 6 0 3a

0 24c

0 12ca

16) −3y

−2xy

−4y −3x 6yx 3y2 12y2 9yx

17) 3 2u v2

u

6u 3v2 3u

18)

x − 1 −2x −5yy −2 −3x

x − 1 − y

−2x + 2 −5y + 3x

19)

−6r + t

r 6s

+ 6r

−4t

−3r + 2 t

r − 4t

6s − 3r + 2

20)

z − 5

−6

−1 − 6z 3y

+

−3y 3z

5 + z 4z

z − 5 − 3y

−6 + 3z

4 − 5z

3y + 4z

21)

5 6 1 2 −6 − 1 6 −6 6 29 −1 16 −36

22) −5

(

0 −2 5 + 2 0 2

)

−10 10 −35

23)

5 3

5 1 − −6 0

1 −4 − 5 4

−2 −6 6 −1

6 11

24)

1 1

6 −4

0 0

+ 5

−4 6

1 1

−4 −1

−19 31 11 1

−20 −5

-2-

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