The matrix that projects onto the x-y plane 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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![The matrix that projects onto the *x-y* plane is
\[
\begin{bmatrix}
1 & 0 & 0 \\
0 & 1 & 0 \\
0 & 0 & 0 \\
\end{bmatrix}
\]
This matrix is a 3x3 transformation matrix used to project points from three-dimensional space onto the *x-y* plane. The third row consists of zeros, effectively removing the z-component of any point to achieve the projection onto the two-dimensional plane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9978ffa8-8e6a-4550-8363-e044b6a6e895%2F57f29dcc-172d-445b-bfad-ecd67a773d0b%2Fmya95ch_processed.png&w=3840&q=75)
Transcribed Image Text:The matrix that projects onto the *x-y* plane is
\[
\begin{bmatrix}
1 & 0 & 0 \\
0 & 1 & 0 \\
0 & 0 & 0 \\
\end{bmatrix}
\]
This matrix is a 3x3 transformation matrix used to project points from three-dimensional space onto the *x-y* plane. The third row consists of zeros, effectively removing the z-component of any point to achieve the projection onto the two-dimensional plane.
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