The matrix that projects onto the line y=2-x is0.5990.8000.800-0.599

Answered: The matrix that projects onto the line…

Math

Advanced Math

The matrix that projects onto the line y 1 is

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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Question

The matrix that projects onto the line y
=
2
-x is
0.599
0.800
0.800
-0.599

Expert Solution

Step 1: Introduction of the given problem

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

Step by step

Solved in 3 steps with 7 images

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Follow-up Questions

Read through expert solutions to related follow-up questions below.

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.

Solution

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