   Chapter 11.2, Problem 45E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# SKILLS43-46 ■ Equality of Matrices Solve for x and y . 2 [ x y x + y x − y ] = [ 2 − 4 − 2 6 ]

To determine

To find:

The value of x and y.

Explanation

Given:

2[xyx+yxy]=(1)

Approach:

Let A=[aij] be a matrix and c is a scalar. Then, the scalar product cA is the m×n matrix obtained by multiplying each entry of A by c. That is, cA=[caij].

The matrices A=[aij] and B=[bij] are said to be equal if and only if they have the same dimension m×n, and corresponding entries are equal, that is, for each i=1,2,,m and j=1,2,,n

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