   Chapter 11.2, Problem 46E ### 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 . [ x y − y x ] − [ y x x − y ] = [ 4 − 4 − 6 6 ]

To determine

To find:

The value of x and y.

Explanation

Given:

[xyyx][yxxy]=(1)

Approach:

Let the matrices A=[aij] and B=[bij] be matrices of the same dimension m×n, The difference AB is the m×n matrix obtained by subtracting the corresponding elements of A and B. Then,

AB=[aijbij]

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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