   Chapter 11.2, Problem 19E ### 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

# 17-22 Matrix Equations Solve the matrix equation for the unknown matrix X , or explain why no solution exists. A = [ 4 6 1 3 ] B = [ 2 5 3 7 ] C = [ 2 3 1 0 0 2 ] D = [ 10 20 30 20 10 0 ] 2 ( B − X ) = D

To determine

To solve:

The matrix equation 2(BX)=D for the unknown matrix X.

Explanation

Given:

The matrices A, B, C and D are given below.

 A= B= C= D=

Approach:

The matrix addition and scalar multiplication in matrices follow the commutative property and the associative property.

A+B=B+Ac(dA)=cdA

Calculation:

Consider the matrix equation 2(BX)=D

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