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write the matrix\[E= \left[\begin{matrix}3 & 1 \\ 1 & -1\end{matrix}\right]\]

as a linear combination of the matrices
\[A=\left[\begin{matrix}1 & 1 \\ 1& 0\end{matrix}\right]\]

\[B=\left[\begin{matrix}0 & 0 \\ 1 & 1\end{matrix}\right]\]

\[C=\left[\begin{matrix}0 & 2 \\ 0 & -1\end{matrix}\right]\]

are there just three?

basically ,you write the matrix E as a linear combination of the matrices A,B, and C

ok so the concepts you need here are matrix addition and scalar multiplication.

you can solve this one in different ways but it's simple enough to do by inspection

ok i got that part

are you following?

yeah

alright cool well then you have the answer!

so it is
3A-2B-C=E?

yes!

thanx a lot!!!!!!!