The given set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for W. An orthogonal basis for W is ✪. (Type a vector or list of vectors. Use a comma to separate vectors as needed.) 0 6 88 4 - 8 O 00

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The given set is a basis for a subspace \( W \). Use the Gram-Schmidt process to produce an orthogonal basis for \( W \).

The vectors given are:

\[
\begin{bmatrix} 
0 \\ 
8 \\ 
4 
\end{bmatrix}
, 
\begin{bmatrix} 
6 \\ 
9 \\ 
-8 
\end{bmatrix}
\]

An orthogonal basis for \( W \) is \(\boxed{\phantom{aa}}\).

*(Type a vector or list of vectors. Use a comma to separate vectors as needed.)*
Transcribed Image Text:The given set is a basis for a subspace \( W \). Use the Gram-Schmidt process to produce an orthogonal basis for \( W \). The vectors given are: \[ \begin{bmatrix} 0 \\ 8 \\ 4 \end{bmatrix} , \begin{bmatrix} 6 \\ 9 \\ -8 \end{bmatrix} \] An orthogonal basis for \( W \) is \(\boxed{\phantom{aa}}\). *(Type a vector or list of vectors. Use a comma to separate vectors as needed.)*
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