Wednesday, August 22, 2018

College Algebra, Chapter 7, 7.2, Section 7.2, Problem 18

Solve the matrix equation 5(XC)=D for the unknown matrix X, where

We solve for X


5(XC)=DGiven equation5X5C=DDistributive Properties of Scalar Multiplication5X=D+5CAdd the matrix 5C to each sideX=15(D+5C)Multiply each side by the scalar 15


So,


X=15([10203020100]+5[231002])Substitute the matrices D and CX=15([10203020100]+[101550010])Simplify matrix CX=15[203535201010]Add matricesX=[205355355205105105]Multiply the scalar 15X=[477422]

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