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Finite Mathematics

7th Edition
Stefan Waner + 1 other
Publisher: Cengage Learning
ISBN: 9781337280426
Chapter 4.3, Problem 4E
Textbook Problem
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In Exercises 1–6, determine whether or not the given pairs of matrices are inverse pairs. [HinT: See Quick Examples 1–3.]

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

To determine

Whether the matrices A=[111011001] and B=[110011001] are inverse pairs.

Explanation of Solution

Given Information:

The provided matrices are A=[111011001] and B=[110011001].

Consider the matrices A=[111011001] and B=[110011001].

A matrix with m rows and n columns is of dimension m×n, where m and n are positive integers.

Since, number of rows in A=[111011001] is 3 and number of columns is 3,

Substitute 3 for m and 3 for n in m×n.

Thus, dimension of A=[111011001] is 3×3.

Since, number of rows in B=[110011001] is 3 and number of columns is 3,

Substitute 3 for m and 3 for n in m×n.

Thus, dimension of B=[110011001] is 3×3.

Now, two matrices A and B are inverse pairs if AB=I, where I is the n×n identity matrix

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In Exercises 1720, write the given system of...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - In Exercises 2124, solve the game with the given...Ch. 4 - In Exercises 2124, solve the game with the given...Ch. 4 - In Exercises 2124, solve the game with the given...Ch. 4 - In Exercises 2124, solve the game with the given...Ch. 4 - In Exercises 2528, find the production vector X...Ch. 4 - In Exercises 2528, find the production vector X...Ch. 4 - In Exercises 2528, find the production vector X...Ch. 4 - In Exercises 2528, find the production vector X...Ch. 4 - It is now July 1, and online sales of romance,...Ch. 4 - It is now July 1, and online sales of romance,...Ch. 4 - It is now July 1, and online sales of romance,...Ch. 4 - It is now July 1, and online sales of romance,...Ch. 4 - It is now July 1, and online sales of romance,...Ch. 4 - It is now July 1, and online sales of romance,...Ch. 4 - Acting on a tip from Marjory Duffin, John OHagan...Ch. 4 - Acting on a tip from Marjory Duffin, John OHagan...Ch. 4 - Acting on a tip from Marjory Duffin, John OHagan...Ch. 4 - Acting on a tip from Marjory Duffin, John OHagan...Ch. 4 - OHaganBooks.com has two main...Ch. 4 - OHaganBooks.com has two main...Ch. 4 - OHaganBooks.com has two main...Ch. 4 - OHaganBooks.com has two main...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Some of the books sold by OHaganBooks.com are...

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