Question

2. (3 PTS) Suppose V is a two-dimensional subspace of $R^4$ spanned by \begin{bmatrix} 1 \ 3 \ 3 \ 5 \end{bmatrix} (1, 3, 3, 5) and (1, 5, 5, 2). \begin{bmatrix} 5 \ 5 \ 7 \end{bmatrix} Find two vectors that span its orthogonal complement $V^\perp$.

          2. (3 PTS) Suppose V is a two-dimensional subspace of $R^4$ spanned by \begin{bmatrix} 1 \ 3 \ 3 \ 5 \end{bmatrix} (1, 3, 3, 5) and (1, 5, 5, 2). \begin{bmatrix} 5 \ 5 \ 7 \end{bmatrix} Find two vectors that span its orthogonal complement $V^\perp$.

2. (3 PTS) Suppose V is a two-dimensional subspace of R^4 spanned by
< b m a t r i x >
(1, 3, 3, 5) and (1, 5, 5, 2).
< b m a t r i x >
Find two vectors that span its orthogonal complement V^⊥.

Added by Andrew M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

08/29/2023

Step 1

The vectors that span V are (1,3,3,5) and (1,5,5,2). We can represent these vectors as column matrices: v1 = [[1], [3], [3], [5]] v2 = [[1], [5], [5], [2]] Show more…

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(3 PTS) Suppose V is a two-dimensional subspace of R^(4) spanned by [[1],[3],[3],[5]](1,3,3,5) and (1,5,5,2)*[[1],[5],[5],[2]] Find two vectors that span its orthogonal complement . 2. (3 PTs) Suppose V is a two-dimensional subspace of R4 spanned by (1,3,3,5) and(1,5,5,2). Find two vectors that span its orthogonal complement V-.