Suppose T is a transformation from R² to R. Find the matrix A that induces T' if T is rotation by 3/2π A = 00 00
Suppose T is a transformation from R² to R. Find the matrix A that induces T' if T is rotation by 3/2π A = 00 00
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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![Suppose \( T \) is a transformation from \(\mathbb{R}^2\) to \(\mathbb{R}^2\). Find the matrix \( A \) that induces \( T \) if \( T \) is rotation by \( 3/2\pi \).
\[
A = \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4d5c245-ff31-4a88-a2ea-6b78181ca717%2F516c8303-f957-44eb-bc1b-ef1d9f386542%2Fre1r3c_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose \( T \) is a transformation from \(\mathbb{R}^2\) to \(\mathbb{R}^2\). Find the matrix \( A \) that induces \( T \) if \( T \) is rotation by \( 3/2\pi \).
\[
A = \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}
\]
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