A First Course in Linear Algebra · Problem SS.C42

Vectors — Robert Beezer

Mathematics — Linear Algebra · spanning-sets

Problem

Suppose R={[2−1340],[1122−1],[3−103−2]}R = \left\{ \begin{bmatrix} 2 \\ -1 \\ 3 \\ 4 \\ 0 \end{bmatrix}, \begin{bmatrix} 1 \\ 1 \\ 2 \\ 2 \\ -1 \end{bmatrix}, \begin{bmatrix} 3 \\ -1 \\ 0 \\ 3 \\ -2 \end{bmatrix} \right\}. Is y=[1−1−8−4−3]\mathbf{y} = \begin{bmatrix} 1 \\ -1 \\ -8 \\ -4 \\ -3 \end{bmatrix} in ⟨R⟩\langle R \rangle?

Related theory

Browse the problem library