Question #305271

True or false :3Z= Z+Z+Z when Z is the matrix

1
Expert's answer
2022-03-03T17:29:59-0500

Let Z=(zij).Z=(z_{ij}). Taking into account that 3(zij)=(3zij)3(z_{ij})=(3z_{ij}) and

(zij)+(zij)+(zij)=(zij+zij+zij)=(3zij),(z_{ij})+(z_{ij})+(z_{ij})=(z_{ij}+z_{ij}+z_{ij})=(3z_{ij}),

we conclude that 3Z=Z+Z+Z.3Z=Z+Z+Z.

Answer: true


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