1001 Algebra Problems.PDF

894.Which of the following systems can be written

in the matrix form

?

a.

b.

c.

d.

895. Which of the following systems can be written
     in the matrix form?

?

a.

b.

c.

d.

896.Which of the following systems can be written

in the matrix form

?

a.

b.

c.

d.

Set 57 (Answers begin on page 261)

This problem set is focused on computing inverse

matrices.

897.Compute the inverse, if it exists:

a.

b.

c.

d.The inverse does not exist.

1

5 7

– 3

–

> – H

– 225

221

227

223

> H

–

–

–

225

221

227

223

> H

3

1

7

5

–

> H

y

x

214

420 –

=

* =

y

y

214

420 –

=

* =

y

x

214

420 –

=

* =

x

y

214

420

=

* =−

x

y

0

4

2

0

14

>>>HH H= – 20

yx

y

1

1

––

–

+=

* =

xy

x

1

1

––+=

* =

xy

x

1

1

–– –

–

=

* =

xy 1

x 1

––=

* =

x

0 y

1

1

11

1

–

–

––=

>>>HH H

3–2 4

9–6 12

xx

yx

=

* =

3–2 4

9–6 12

x

xx

y=

* =

3–2 4

9–6 12

xy

xy

=

* =

–3 2 4

–9 6 12

yx

yx

+=

* +=

x

y

2

6

3

9

4

12

–

>>>– HH H=

• MATRIX ALGEBRA–