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The matrix that projects onto the line y 1 is

The matrix that projects onto the line y 1 is

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The matrix that projects onto the line y = 2 -x is 0.599 0.800 0.800 -0.599
Transcribed Image Text:The matrix that projects onto the line y = 2 -x is 0.599 0.800 0.800 -0.599
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Step 1: Introduction of the given problem

We have to find the matrix that projects onto the line y equals 1 half x

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Follow-up Question
The matrix that projects onto the line \( y = \frac{1}{2} x \) is \[ \begin{bmatrix} 0.6 & 0.8 \\ 0.8 & -0.6 \end{bmatrix} \] - **Matrix Details:** The given matrix is a 2x2 matrix with elements \(0.6\), \(0.8\), \(0.8\), and \(-0.6\). This matrix is used to project vectors onto the line \( y = \frac{1}{2}x \). - **Error Indication:** The red "X" in the corner indicates an incorrect response or a warning/error related to the projection task.
Transcribed Image Text:The matrix that projects onto the line \( y = \frac{1}{2} x \) is \[ \begin{bmatrix} 0.6 & 0.8 \\ 0.8 & -0.6 \end{bmatrix} \] - **Matrix Details:** The given matrix is a 2x2 matrix with elements \(0.6\), \(0.8\), \(0.8\), and \(-0.6\). This matrix is used to project vectors onto the line \( y = \frac{1}{2}x \). - **Error Indication:** The red "X" in the corner indicates an incorrect response or a warning/error related to the projection task.
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