1001 Algebra Problems.PDF

• MATRIX ALGEBRA–

876.Compute the determinant:
a. 2
b. 1
c.–2
d. 0

877.Compute the determinant:
a. 0
b. 5
c. 12
d.–12

878.Compute the determinant:
a. 0
b. 15
c. 48
d.–15

879.Compute the determinant:
a. 1
b. 0
c.–1
d. 2

880.Compute the determinant:
a. 2
b.–2
c. 8
d.–8

Set 56 (Answers begin on page 257)

This problem set is focused on writing systems in

matrix form.

881. Write this system in matrix form:

a.

b.

c.

d.

882.Write this system in matrix form:

a.

b.

c.

d.

883.Write this system in matrix form:

a.

b.

c.

d. x

1 y

3

2

22

>>>HH H= 4

x

y 4

1

2

2

3

=^2

>>>HH H

x

y

1

2

2

3

4

>>>HH H= 2

x

2 y

2

1

34

>>>HH H= 2

xy 24

232 xy

+=

* + =

x

y

b

a

1

0

0

1

>>>HH H=

x

y

a

1 b

00

1

>>>HH H=

x

y

a

b

1

0

1

>>> 0 HH H=

x

y

a

b

1

0

0

>>> 1 HH H=

xa

yb

=

* =

x

y

3

1

7

5

2

8

>>>– HH H=

x

y

3

5

2

7 8

– 1

>>>HH H=

x

y

3

1

7

5

2

8

–

>>>––HH H=

3

1

7

5

2

8

x

y

–

>>>HH H=

xy

xy

37 2

58

–+ =

* +=

0

0

4

2

> H

1

1

0

1

–

– –

> H

3 2

96

–

> – H

3

2

2

3

> H

2

0

1

1

–

–

> H