Question

Determine whether the following vectors form a basis of R4

Answer 1

\[\left(\begin{matrix}1 \\ 1\\1\\1\end{matrix}\right), \left(\begin{matrix}1 \\ -1\\1\\-1\end{matrix}\right) \left(\begin{matrix}1 \\ 2\\4\\8\end{matrix}\right) \left(\begin{matrix}1 \\ -2\\4\\-8\end{matrix}\right)\]

Answer 2

I dont know how to tell if they are linearly independent vectors..

Answer 3

put them all in a matrix, column by column

Answer 4

multiply by constants and set it equal to 0