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Linear Algebra

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Moderate

Vector in a Basis

LINALG-JBMU4N

What is the coordinate vector of

$$\begin{pmatrix}1\\\ 1\\\ 0\end{pmatrix}$$

...with respect to the basis:

$$\left\{\begin{pmatrix}1\\\ 1\\\ 0\end{pmatrix},\begin{pmatrix}1\\\ 0\\\ 1\end{pmatrix},\begin{pmatrix}0\\\ 1\\\ 1\end{pmatrix}\right\} \quad$$

..of $ \mathbb{R}^3$?

A

$\begin{pmatrix}1\\\ 1\\\ 0\end{pmatrix}$

B

$\begin{pmatrix}1\\\ 0\\\ 1\end{pmatrix}$

C

$\begin{pmatrix}0\\\ 1\\\ 1\end{pmatrix}$

D

$\begin{pmatrix}1\\\ 0\\\ 0\end{pmatrix}$

E

$\begin{pmatrix}0\\\ 1\\\ 0\end{pmatrix}$