   Chapter 10.2, Problem 10ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views

# Let A = [ 1 1 − 1 0 − 2 1 ] , B = [ − 2 0 1 3 ] and C = [ 0 3 1         − 2 1 0 ] .For each of the following, determine whether the indicated product exists, and compute it if it does. AB b. BA c. A2 d. BC e. CB f. B 2 g. B 3 h. C 2 i. AC j. CA

To determine

(a)

Whether the product AB exists, and compute it if it does.

Explanation

Given information:

A = [ 1 0 1 2 1 1 ],        B = [ 2 0 1 3

To determine

(b)

Whether the product BA exists, and compute it if it does.

To determine

(c)

Whether the product A2 exists, and compute it if it does.

To determine

(d)

Whether product BC exists, and compute it if it does.

To determine

(e)

Whether product CB exists, and compute it if it does.

To determine

(f)

Whether the product B2 exists, and compute it if it does.

To determine

(g)

Whether the product B3 exists, and compute it if it does.

To determine

(h)

Whether the product C2 exists, and compute it if it does.

To determine

(i)

Whether the indicated product AC exists, and compute it if it does.

To determine

(j)

Whether the indicated product CA exists, and compute it if it does.

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