Let S be the subspace of (mathbb{R}^3) spanned by the vectors ((1,0,1)), ((0,1,1)), ((2,0,2)). What is the dimension of S?
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Step 1: Write the given vectors as a matrix: \[ A = \begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 2 & 0 & 2 \end{bmatrix} \] Show more…
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