Finite Mathematics and Applied Calculus (MindTap Course List)
Finite Mathematics and Applied Calculus (MindTap Course List)
7th Edition
ISBN: 9781337274203
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Chapter 5, Problem 1RE

For Exercises 1–10, let

A = [ 1 2 3 4 5 6 ] , B = [ 1 1 0 1 ] , C = [ 1 0 1 1 0 1 ] ,   and   D = [ 3 2 1 1 2 3 ]

Determine whether each expression is defined. If it is, evaluate it.

A + B

Expert Solution & Answer
Check Mark
To determine

To calculate: The value of A+B where A=[123456] and B=[1101].

Answer to Problem 1RE

Solution:

The value of A+B is not defined because both the matrix has different dimensions.

Explanation of Solution

Given Information:

The provided matrices are A=[123456] and B=[1101].

Formula used:

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

For two matrices A and B with equal dimension, A+B and AB is the sum and difference of the corresponding entries of the matrices respectively.

Calculation:

Consider the matrices A=[123456] and B=[1101].

Recall that 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=[123456] is 2 and number of columns is 3,

Substitute 2 for m and 3 for n in m×n.

Thus, dimension of A=[123456] is 2×3.

Since, number of rows in B=[1101] is 2 and number of columns is 2,

Substitute 2 for m and 2 for n in m×n.

Thus, dimension of B=[1101] is 2×2.

Since, both the matrices don’t have same dimension.

Thus, the sum A+B is not defined.

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Chapter 5 Solutions

Finite Mathematics and Applied Calculus (MindTap Course List)

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