Find an orthogonal basis for the column space of the matrix to the right. An orthogonal basis for the column space of the given matrix is (Type a vector or list of vectors. Use a comma to separate vectors as needed.) -1 5 1 -7 - 1 7 3 1 1 -3-3 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem Statement:**

Find an orthogonal basis for the column space of the matrix to the right.

\[
\begin{bmatrix}
-1 & 5 & 7 \\
1 & -7 & 3 \\
1 & -1 & 5 \\
1 & -3 & -3 
\end{bmatrix}
\]

---

**Solution:**

An orthogonal basis for the column space of the given matrix is [ ].  
(Type a vector or list of vectors. Use a comma to separate vectors as needed.)
Transcribed Image Text:**Problem Statement:** Find an orthogonal basis for the column space of the matrix to the right. \[ \begin{bmatrix} -1 & 5 & 7 \\ 1 & -7 & 3 \\ 1 & -1 & 5 \\ 1 & -3 & -3 \end{bmatrix} \] --- **Solution:** An orthogonal basis for the column space of the given matrix is [ ]. (Type a vector or list of vectors. Use a comma to separate vectors as needed.)
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