Question

Express [4,3] as a linear combination of the given vectors..

Answer 1

The standad basic vectors i,j

Answer 2

and \[\left(\begin{matrix}-4 \\ -6\end{matrix}\right)\] \[\left(\begin{matrix}2 \\ 2\end{matrix}\right)\]

Answer 3

[4,3]

i=[1,0]
j=[0,1]

4i=[4,0]
3j=[0,3]

4i+3j=[4,3]

Answer 4

Hah, why yes. Thank you!