Question

Let \begin{bmatrix} 3\\13\\-4\\-3 \end{bmatrix}, \vec{v} = \begin{bmatrix} -1\\-4\\-3\\3 \end{bmatrix}, and let $W$ the subspace of $\mathbb{R}^4$ spanned by $\vec{u}$ and $\vec{v}$. Find a basis of $W^\perp$, the orthogonal complement of $W$ in $\mathbb{R}^4$.

          Let
\begin{bmatrix} 3\\13\\-4\\-3 \end{bmatrix}, \vec{v} = \begin{bmatrix} -1\\-4\\-3\\3 \end{bmatrix},
and let $W$ the subspace of $\mathbb{R}^4$ spanned by $\vec{u}$ and $\vec{v}$. Find a basis of $W^\perp$, the orthogonal complement of $W$ in $\mathbb{R}^4$.

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Let

< b m a t r i x >
, v⃗ =
< b m a t r i x >
,
and let W the subspace of ℝ^4 spanned by u⃗ and v⃗. Find a basis of W^⊥, the orthogonal complement of W in ℝ^4.

Added by Lisa M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Let -17 13 -4 n= ,3= -4 -3 -3 3 and let W the subspace of IR4 spanned by u and . Find a basis of W, the orthogonal complement of W in IR4

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