(See Steps) Find a basis for the given subspaces of R^3 and R^4. All vectors of the form [ a , b , c , ], where b=a+c All vectors of the form [ a , b ,
Question: Find a basis for the given subspaces of \({{R}^{3}}\) and \({{R}^{4}}\).
- All vectors of the form \(\left[ \begin{matrix} a \\ b \\ c \\ \end{matrix} \right]\), where \(b=a+c\)
- All vectors of the form \(\left[ \begin{matrix} a \\ b \\ c \\ \end{matrix} \right]\), where \(b=a\)
- All vectors of the form \(\left[ \begin{matrix}
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