1001 Algebra Problems.PDF

• MATRIX ALGEBRA–

846.Which of the following statements is true?

a.

b.

c.

d.All of the above statements are false.

847.Which of the following statements is true?

a.

b.There is an X-value that makes the following equation true:

c.

d.All of the above statements are false.

848.How many ordered triples (x,y,z) (where x,y, and z are real numbers) make the following equation true:

?

a. 8

b. 4

c. 2

d. 0

0

1

0

1

y

z

x

y

x

4 z

1

3

2

2

1

1

3

1

2

1

4

1

1

0

3

2

1

1

3

1

4

1

1

8

0

–

–

–

–

–

–

–

–

–

–

–

–

–

–

–

–

2

2

2

=

R

T

S

S

S

S

S

R

T

S

S

S

S

S

V

X

W

W

W

W

W

V

X

W

W

W

W

W

1

1

1

1 11 11

0

0

0

> H–– = 99 CC> 0 H

0

0

0

1

0

0

0

1

0

0

0

1

15

0

0

0

1

15

0

0

0

1

15

0

0

0

1

15

X

X

X

X

–= 3

R

T

S

S

S

S

S

R

T

S

S

S

S

S

V

X

W

W

W

W

W

V

X

W

W

W

W

W

1

1

1

1 1

0

0

0

0

–

–

–

>>– HH+=

3100 2010 99 ––CC+ 99 00 1––CC= 321

2

1

1

3

2

1

1

– 3

–

–

+=–

>>>HH H

0 1

2

2

1

– 0

–

> H=