Solved: Orthogonal Subspaces In Exercises 58, determine

Chapter 5, Problem 6

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Orthogonal Subspaces In Exercises 5 - 8, determine whether the subspaces are orthogonal.

\(S_{1}=\operatorname{span}\left\{\left[\begin{array}{r}-3 \\ 0 \\ 1\end{array}\right]\right\} \quad S_{2}=\operatorname{span}\left\{\left[\begin{array}{l}2 \\ 1 \\ 6\end{array}\right],\left[\begin{array}{l}0 \\ 1 \\ 0\end{array}\right]\right\}\)

Text Transcription:

S_1 = span {[-3 \\ 0 \\ 1]}     S_2 = span {[2 \\ 1 \\ 6], [0 \\ 1 \\ 0]}