Question

Linear algebra

Answer 1

Prove that function \[f:\mathbb{R} _{3} \left[ x \right]\rightarrow \mathbb{R} ^{3,1}\] given by \[f(a+bx+cx ^{2})=\] matrix [ a+b+c; a; a-b+c]

Answer 2

is isomorphism

Answer 3

u want to prove that f is a bijective linear mapping?

Answer 4

yes, right that