Solve the matrix equation 5(X−C)=D for the unknown matrix X, where
We solve for X
5(X−C)=DGiven equation5X−5C=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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