[Steps Shown] Exhibit a basis for the vector space H H=
Question: Exhibit a basis for the vector space H
\[H=\left\{ \left[ \begin{matrix} a \\ b \\ c \\ \end{matrix} \right]\in {{\mathbb{R}}^{3}}:\,\,\,a=b-c,\,\,\,2a-b=b-c \right\}\]
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![[Steps Shown] Exhibit a basis for the](/images/solutions/MC-solution-library-39082.jpg "[Steps Shown] Exhibit a basis for the vector space W : W=")
![[Steps Shown] Suppose B is an m*](/images/solutions/MC-solution-library-39084.jpg "[Steps Shown] Suppose B is an m* n matrix such that")
