1001 Algebra Problems.PDF

• MATRIX ALGEBRA–

Set 53 (Answers begin on page 252)

Basic features of matrices and the arithmetic of matri-
ces are explored in this problem set.

833.What are the dimensions of the matrix
[1 2 –1 0]?
a. 4  4
b. 1  4
c. 4  1
d. 1  1

834.What are the dimensions of the matrix

?

a. 2  4

b. 4  2

c. 2  2

d. 4  4

835.Which of the following matrices has dimen-
sions 32?

a.

b.

c.

d.none of the above

836.Compute, if possible:

a.

b.

c.

d.This computation is not well-defined.

837.Compute, if possible:

a.

b.

c.

d.This computation is not well-defined.

838.Compute, if possible:

a.

b.

c.

d.This computation is not well-defined.

12

6

1

4

–

>––H

12

6

1

4

–

> H

4

1

6

12

––

> – H

(^2) >>–– 03 11 HH– 3 22 – 21

1

0

1

5

1

0

0

0

2

0

0

0

1

0

0

– 0

R ––

T

S

S

S

S

S

V

X

W

W

W

W

W

2

1

1

3

–

–

–

R

T

S

S

S

S

S

V

X

W

W

W

W

W

92113 –––C

1122

1

0

1

5

––

–

+

R

T

S

S

S

S

S

9

V

X

W

W

W

W

W

C

3

0

3

9

0

> – 3 H

3

0

3

9

0

3

–

> H

3

0

3

9

0

3

––

> ––H

– 3 >–– 01 –^1301 H

3

3

3

3

H

1

0

1

3

0

1

––

• 
  

H

35

20

21

R

T

S

S

SS

V

X

W

W

WW

0

0

2

1

0

0

2

0

–

–

R

T

S

S

S

S

S

V

X

W

W

W

W

W