Linear Algebra and Its Applications · Problem 3.1.5

Orthogonality — Gilbert Strang

Mathematics · orthogonal-vectors-subspaces

Problem

Which pairs are orthogonal among the vectors v1,v2,v3,v4v_1, v_2, v_3, v_4? v1=[12−21],v2=[4040],v3=[1−1−1−1],v4=[1111].v_1 = \begin{bmatrix}1\\2\\-2\\1\end{bmatrix}, \quad v_2 = \begin{bmatrix}4\\0\\4\\0\end{bmatrix}, \quad v_3 = \begin{bmatrix}1\\-1\\-1\\-1\end{bmatrix}, \quad v_4 = \begin{bmatrix}1\\1\\1\\1\end{bmatrix}.

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