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Exercise 6

Avg difficulty 3.0

Find the dimension of this subspace of R2\mathbb{R}^{2}.

S={(a+ba+c)∣a,b,c∈R}S=\text{$\{\hskip 1.00006pt\begin{pmatrix}a+b\\ a+c\end{pmatrix}\mid a,b,c\in\mathbb{R}\hskip 1.00006pt\}$}

Hefferon, Linear Algebra, Vector Spaces, Dimension, Exercise 6

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.