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[0/6 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 4.6.015.SBS. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER basis for the subspace of R? spanned {(5, 9), (1, 1, 2) (1,...

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[0/6 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 4.6.015.SBS. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER basis for the subspace of R? spanned {(5, 9), (1, 1, 2) (1, Si? 1: Flnd the reduced row-echelon fomm of the matnx whose rois are the vectors 3ma Deternine Dari8thal Sdans Need Help? Ratdli Eaecnh Iuabl

[0/6 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 4.6.015.SBS. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER basis for the subspace of R? spanned {(5, 9), (1, 1, 2) (1, Si? 1: Flnd the reduced row-echelon fomm of the matnx whose rois are the vectors 3ma Deternine Dari8thal Sdans Need Help? Ratdli Eaecnh Iuabl



Answers

In Exercises $7-10,$ let $W$ be the subspace spanned by the $\mathbf{u}^{\prime}$ 's, and write $\mathbf{y}$ as the sum of a vector in $W$ and a vector orthogonal to $W$
$$
\mathbf{y}=\left[\begin{array}{l}{3} \\ {4} \\ {5} \\ {6}\end{array}\right], \mathbf{u}_{1}=\left[\begin{array}{r}{1} \\ {1} \\ {0} \\ {-1}\end{array}\right], \mathbf{u}_{2}=\left[\begin{array}{l}{1} \\ {0} \\ {1} \\ {1}\end{array}\right], \mathbf{u}_{3}=\left[\begin{array}{r}{0} \\ {-1} \\ {1} \\ {-1}\end{array}\right]
$$


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