Matrix Multiplication - Kuta Software

Kuta Software - Infinite Algebra 2

Name___________________________________

Matrix Multiplication

Date________________ Period____

Simplify. Write "undefined" for expressions that are undefined. 1)

0 −2

2 6 ⋅ −5 3

3)

−5 −1

−2 −5 ⋅ 3 2

5)

0 −3 −5

5 −4 1 ⋅ −2 1

7)

−5 6 ⋅ 3 0

−6 0

−3 5

4 −4

−1

©u 32U01162O BKduWtXae MSoodfNtBwuafrKeE MLRLXCQ.H O QAjlPlF 1rsiUg8h2t4su crPeps9eHr0vOeld4.q v xMPadd8eB BwqiltIhn yIRnzfUi3nWiStteD VAdl9gxeGbnrsaX S2M.K

2)

6 ⋅ −5 −3

4)

−3 −2

6)

5 1

3 5

−4 5 ⋅ −3 0 3

8)

3 2

2 3

5 4 ⋅ 1 5

-1-

4

6 5 ⋅ 1 1

−2 −5

2 4 −5

5 −1

−5 6

Worksheet by Kuta Software LLC

9)

3 −3 −6

−1 −1 6 ⋅ 5 −6

6 4

11)

−1 5 6 −5

1 2 −5 6

−1 6 −5 ⋅ 5 1 6 0

13)

2

−5v ⋅

−5u 0

5 −6 0

−v 6

10)

5 2

12)

−2 −4 5 4

14)

−4 −2 x

4 −4 ⋅ −1 3

−6 3 2 ⋅ 0 −2 −6

−y −4 x ⋅ 2y −4

−2 0

2 −3

0 −5

Critical thinking questions: 15) Write an example of a matrix multiplication that is undefined.

©M F2n0M1p2o XKKuUtHaw qSxoxfFtKwxaOrKeD aLNLiCM.Z p FAeljlZ brkiFgQhRtBsT Vrre1slecrUvJePdm.X D dM2aVd6eg twwiTtQhi BIqnVfjionaift7eo iASligYeRbArWad U2z.y

16) In the expression A ⋅ B, if A is a 3 × 5 matrix then what could be the dimensions of B?

-2-

Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Matrix Multiplication

Date________________ Period____

Simplify. Write "undefined" for expressions that are undefined. 1)

0 −2

2 6 ⋅ −5 3

6 −27

3)

−5 −1

5)

0 −3 −5

6 ⋅ −5 −3 −30 15

−3 5

4)

−13 −11

5 −4 1 ⋅ −2 1

6)

5 1

−20 −16 −24

−5 6 ⋅ 3 0 −15 18 0

4 −4

−1

3 5 −14 −19

8)

3 2

4

24 −12

6 5 ⋅ 1 1

−3 −2

−10 13

−10 10 18

7)

2)

0 12

−2 −5 ⋅ 3 2

−5 8

−6 0

2 3

−2 −5

−19 −1

−4 5 ⋅ −3 0 3

2 4 −5

−3 22

5 4 ⋅ 1 5

5 −1

−5 6

Undefined 5 −6 0

©7 K2I0k1f2k FKQuSt3aC lSeoXfIt0wmaKrDeU RLMLECH.I m lAklMlz zrjiAgYh2thsF KrNeNsHetrevneFd7.Q R VMPaJdre9 rwdiQtAho fIDntfMienWiwtQe7 gAAldg8eTb0rBaw z21.e

-1-

Worksheet by Kuta Software LLC

9)

3 −3 −6

−1 −1 6 ⋅ 5 −6

−8 33 −24

11)

13)

10)

1 2 −5 6

−7 10 17 0

−11 13 60 −61

−1 6 −5 ⋅ 5 1 6 0

−5v ⋅

−10u

5 2

4 −4 ⋅ −1 3

−8 −11

14 6 −60

−1 5 6 −5

2

6 4

−5u 0

5 −6 0

12)

−v 6

14)

−2 −4 5 4

−6 3 2 ⋅ 0 −2 −6

8 −14 10 20

4 8 −10 −8

−4 −2 x

−y −4 x ⋅ 2y −4

16 x − 2 y 2 8x2 − 8 y

−32v

−2 0

2 −3

14 −17 10 26

0 −5

5y 20

Critical thinking questions: 15) Write an example of a matrix multiplication that is undefined. 1 Many answers. Ex: 3

1 2 ⋅ 3 4 5

16) In the expression A ⋅ B, if A is a 3 × 5 matrix then what could be the dimensions of B? 5 × Anything

2 4 6

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

©4 e2b0i1r2N fK7uEtwaN ZSPoYfDt4wGanrSea ILxLVCx.q f GA3ldlX Vr1igg3hqtNsZ mrzeDsGe9rivRetdd.E U CMxamdoeA Ew9iutWhu NIGnRfPi0nHiutNeL 9AvlQgyeHbfrFak u2Z.6

-2-

Worksheet by Kuta Software LLC