The transformation F from R2 to R2 first scales the x-component by - 3 and then rotates clockwise by 90 degrees. Find the matrix for this transformation, according to the standard basis vectors. Answer: F = The transformation A from R2 to R2 performs those steps in reverse order. First it rotates clockwise by 90 degrees and then scales the x-component by - 3. Find the matrix for this transformation, according to the standard basis vectors. Answer: A =
The transformation F from R2 to R2 first scales the x-component by - 3 and then rotates clockwise by 90 degrees. Find the matrix for this transformation, according to the standard basis vectors. Answer: F = The transformation A from R2 to R2 performs those steps in reverse order. First it rotates clockwise by 90 degrees and then scales the x-component by - 3. Find the matrix for this transformation, according to the standard basis vectors. Answer: A =
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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
Transcribed Image Text:The transformation F from R² to R² first scales the x-component by - 3 and then rotates clockwise by 90
degrees. Find the matrix for this transformation, according to the standard basis vectors.
Answer: F =
The transformation A from R2 to R2 performs those steps in reverse order. First it rotates clockwise by 90
degrees and then scales the x-component by - 3. Find the matrix for this transformation, according to the
standard basis vectors.
31
Answer: A =
=
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