Matrix Operations Date Period

Kuta Software - Infinite Precalculus

Name___________________________________

Matrix Operations

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

Date________________ Period____

1)

2)

3) w w v

u v

wv

4)

( ) wu

v

v

5) v

v

u vu

y x

x x

6) x

y

y

x

x xy

b

a

7) b ab

b

a

( )

8)

-1-

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Worksheet by Kuta Software LLC

9)

10)

11)

( )

12)

13)

ab ba

b

b b

u u u

u

14)

uv

v

v

u u

v v

Critical thinking questions:

15) Give an example of a matrix X that would make the expression AX defined where A is a ? matrix.

16) How many multiplications of two numbers would be required to multiply a ? matrix by a ? matrix?

-2-

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Precalculus

Name___________________________________

Matrix Operations

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

Date________________ Period____

1)

2)

3) w w v

u v

wv

w wwu

wv wv wv

( ) wu

v

v

5) v

v

u vu

wuv v

vuvu

b

a

7) b ab

b

a

ba bab ba

4)

y x

x x

6) x

y

y

x

x xy

yx

x

x y

yx xxy

( )

8)

-1-

?s L2u0g1S6Q tK\uOtbad eSLo`fTtRwwaVrled gLELDCy.t ] BA^lplZ frDiJgOh_trsw irLeSsRexrEvaebd].Y K VMFaMdjeW qwiiut`hU CIjnafaiMn^iZtueU XPDr[eacJavllcbuNluumss.

Worksheet by Kuta Software LLC

9)

10)

11)

13)

ab ba

b

b b

ab bab

( )

12) Undefined

u u u

u

14)

uv

v

v

u u

v v

uu uuvuv

uvvu

uvv

Critical thinking questions:

15) Give an example of a matrix X that would make the expression AX defined where A is a ? matrix.

Any ? Anything matrix

16) How many multiplications of two numbers would be required to multiply a ? matrix by a ? matrix?

multiplications

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-2-

?M b2I0S1r6B iKguCtwaU aS[offFt_wNaJrQeW WLZLTCn.i \ RAYlJlF ErriCgFhXtpsG jrYeqsGevrGvDe`dk.O J VMoawdEeo awGiktnhT ]INnafdiBn^iat]eL rPPrNeucuaLlbcnuYlfuKsJ.

Worksheet by Kuta Software LLC

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