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Vectors — Robert Beezer
Mathematics — Linear Algebra · spanning-sets
Problem Suppose that S = { [ − 1 2 1 ] , [ 3 1 2 ] , [ 1 5 4 ] , [ − 6 5 1 ] } S = \left\{ \begin{bmatrix} -1 \\ 2 \\ 1 \end{bmatrix}, \begin{bmatrix} 3 \\ 1 \\ 2 \end{bmatrix}, \begin{bmatrix} 1 \\ 5 \\ 4 \end{bmatrix}, \begin{bmatrix} -6 \\ 5 \\ 1 \end{bmatrix} \right\} S = ⎩ ⎨ ⎧ − 1 2 1 , 3 1 2 , 1 5 4 , − 6 5 1 ⎭ ⎬ ⎫ W = ⟨ S ⟩ W = \langle S \rangle W = ⟨ S ⟩ y = [ − 5 3 0 ] \mathbf{y} = \begin{bmatrix} -5 \\ 3 \\ 0 \end{bmatrix} y = − 5 3 0 y ∈ W \mathbf{y} \in W y ∈ W Browse the problem library