   Chapter 11.CR, Problem 48E ### 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

# 4 7 − 5 2 . Matrix Equations : Solve the matrix equation for the unknown matrix X, or show that no solution exists, where A = [ 2 1 3 2 ] , B = [ 1 − 2 − 2 4 ] , C = [ 0 1 3 − 2 4 0 ] 1 2 ( X − 2 B ) = A

To determine

To find:

The value of unknown matrix X satisfying matrix equation 12(X2B)=A, if solution exists, where A= and B=.

Explanation

Approach:

Two matrices A and B can be added or subtracted only if they have same dimension.

Calculation:

Here, A= and B=

In order to be subtracted by matrix B, matrix X must be of the dimension 2×2.

12(X2B)=AX2B=2AX=2A+2BX=2(A+B)

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