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Suppose T : R² → R² is a linear transformation that first rotates a point (about the origin) through 3π radians (counterclockwise) and then reflects points through the vertical 2-axis. Find the standard matrix, A, of T. Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation). 4 A =

Suppose T : R² → R² is a linear transformation that first rotates a point (about the origin) through 3π radians (counterclockwise) and then reflects points through the vertical 2-axis. Find the standard matrix, A, of T. Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation). 4 A =

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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3π Suppose T : R² → R² is a linear transformation that first rotates a point (about the origin) through radians (counterclockwise) and then reflects points through the vertical 2-axis. Find the standard matrix, A, of T. Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation). 4 A =
Transcribed Image Text:3π Suppose T : R² → R² is a linear transformation that first rotates a point (about the origin) through radians (counterclockwise) and then reflects points through the vertical 2-axis. Find the standard matrix, A, of T. Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation). 4 A =
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