Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems A First Course in Linear Algebra · Problem SS.C40
Vectors — Robert Beezer
Mathematics — Linear Algebra · spanning-sets
Problem Suppose that S = { [ 2 − 1 3 4 ] , [ 3 2 − 2 1 ] } S = \left\{ \begin{bmatrix} 2 \\ -1 \\ 3 \\ 4 \end{bmatrix}, \begin{bmatrix} 3 \\ 2 \\ -2 \\ 1 \end{bmatrix} \right\} S = ⎩ ⎨ ⎧ 2 − 1 3 4 , 3 2 − 2 1 ⎭ ⎬ ⎫ W = ⟨ S ⟩ W = \langle S \rangle W = ⟨ S ⟩ x = [ 5 8 − 12 − 5 ] \mathbf{x} = \begin{bmatrix} 5 \\ 8 \\ -12 \\ -5 \end{bmatrix} x = 5 8 − 12 − 5 x ∈ W \mathbf{x} \in W x ∈ W Browse the problem library