Answer to Question #246669 in Linear Algebra for Nkhululeko chabala

Question

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

Answer 1

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