Orthogonal Subspaces In Exercises 58, determine whether the subspaces are orthogonal.S1

Chapter 5, Problem 7

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

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

Text Transcription:

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