Answer to Question #305271 in Linear Algebra for Nhlonipho Manganyi

Question

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

Answer 1

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

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

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

Answer: true