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
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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.
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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