Question

Linearly independent/dependant?

Answer 1

\[\left[\begin{matrix}1 &2 & 3 \\ 0 & 0 &0\\0&0&0\end{matrix}\right]\]

Answer 2

\[\left[\begin{matrix}1+2x+3x ^{2} \\2+3x+4x ^{2} \\ 3+4x+5x ^{2}\end{matrix}\right]\]

Answer 3

*

Answer 4

the latter matrix was given first, i then reduced it to the first matrix given

Answer 5

using


\[\sum_{i=1}^{3}\alpha _{i}p _{i}\]

where pi is each row..