My Math Forum Vectors and linear combinations

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 June 20th, 2013, 08:38 AM #1 Newbie   Joined: Apr 2013 Posts: 18 Thanks: 0 Vectors and linear combinations Hi!!!! I have this question: Write the vectors $\vec{e}_{1}, \vec{e}_{2}, \vec{e}_{3}$, as a linear combination of $\vec{u}, \vec{v}, \vec{w}$ How I can solve this ??? Thanks for the help
 June 20th, 2013, 10:27 PM #2 Senior Member   Joined: Dec 2012 Posts: 372 Thanks: 2 Re: Vectors and linear combinations I guess $e_1 , e_2 , e_3$ is the canonical basis for $\mathbb{R}^3$ but we need the coordinates of $\overline{u}, \overline{v}, \overline{w}$ in terms of the canonical basis, in order to obtain $e_1 , e_2 , e_3$ as subjects in terms of $\overline{u}, \overline{v}, \overline{w}$. Either numerical or symbolic coordinates will do.

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