1001 Algebra Problems.PDF

• MATRIX ALGEBRA–

864.Express as a single matrix, if possible:
(2F)(–2E) + 2B

a.

b.

c.

d.not possible

Set 55 (Answers begin on page 257)

This problem set is focused on computing determi-
nants of square matrices.

865.Compute the determinant:
a.–38
b. –26
c. 22
d.–22

866.Compute the determinant:
a. 0
b.a
c.ab
d.b

867.Compute the determinant:
a. –1
b. 1
c.–3
d. 3

868.Compute the determinant:
a. –5
b. 5
c. 1
d.–1

869.Compute the determinant:

a.–10

b.–6

c. 6

d. 0

870. Compute the determinant:
     a. 9
     b. 0
     c. 16
     d.–16


871. Compute the determinant:
     a.–20
     b. 20
     c.–22
     d. 22

872.Compute the determinant:

a. 25

b.–25

c.–4

d. 4

873.Compute the determinant:

a. 1

b.–1

c.–5

d. 5

874.Compute the determinant:

a. 24

b. 36

c.–6

d.–24

875.Compute the determinant:

a.–2

b. 2

c. 1

d.–1

2

1

1

0

>––H

12

0

3

2

–

–

> H

3

1

1

2

–

> –H

1

0

4

25

–

> H

34

4 2

–

> H

6

2

3

> 1 H

1

2

2

4

–

> – H

2

1

3

> 1 H

1

2

2

> 3 H

a

0 b

0

> H

3

1

7

5

>– H

3

1

2

> 5 H

2

4

5

2

––

> H

2

1

1

>– 0 H