Qvestion $18$

Nor yet answered

Marked ou of $100$

Hao question

Let $\{x,y,z\}$ be a basls of $R^3.$ Constcler the following statements $P$ and $Q.P$:$\{x+y,y+z,x-z\}$ is a basis of $m^3.$

$Q$:$\{x+y+z,x+2y-z,x-3z\}$ is beats of $R^8.$

Which of the above statements hold TRUE?

a$.$ OnlyP

b$.$ OnlyQ

C$.$ Neither P nor Q

d$.$ Both $P$ and $Q$