1001 Algebra Problems.PDF

910.Compute the inverse, if it exists:

a.

b.

c.

d.The inverse does not exist.

911.Compute the inverse, if it exists:

a.

b.

c.

d.The inverse does not exist.

912. Compute the inverse, if it exists:

a.

b.

c.

d.The inverse does not exist.

Set 58 (Answers begin on page 264)

This problem set is focused on solving matrix equations

of the form Ax= b.

913.Solve this system by first converting to an

equivalent matrix equation:

a.x= ^2131 ,y= ^1131 

b.x= –^2131 ,y= –^1131 

c.There is no solution.

d.There are infinitely many solutions.

914.Solve this system by first converting to an

equivalent matrix equation:

a.There is no solution.

b.There are infinitely many solutions.

c.x= a, y= b

d.x= b, y= a

915.Solve this system by first converting to an

equivalent matrix equation:

a.x= 8,y= –6

b.x= –8,y= 6

c.There is no solution.

d.There are infinitely many solutions.

xy

xy

24

23 2

+=

* +=

xa

yb

=

* =

xy

xy

37 2

58

– +=

* +=

0

– 0

–

21

>^41 H

0

21 0

>^41 H

0

4

2

– 0

> – H

0

4

2

> 0 H

1

1

1

> 0 H

1

–1

–1

> 0 H

0

–1

–1

> 1 H

–1

–1

–1

> 0 H

6

9

2

3

–

>– H

6

2

9

3

–

>– H

6

9

2

3

––

> H

3

9

2

6

–

> – H

• MATRIX ALGEBRA–