Answer to Question #246669 in Linear Algebra for Nkhululeko chabala

Question #246669

True or False : 3Z = Z + Z + Z when Z is a matrix

Expert's answer

Answer: true

Using commutative property for matrix A+B=B+A,

and associative property for matrix A+(B+C)=(A+B)+C,

we get:

Z+Z=2Z

Z+Z+Z=Z+2Z=3Z

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