4. Determine weather T1 o Ty = T2 o T1. (a) Tị : R² → R² is the orthogonal projection on the r-axis and T2 : R² → R² is the counterclockwise rotation through an angle 0. (b) Tị : R® → R® is the rotation about the r-axis through an angle 01 and T2 : Rº → R® is the rotation about the z-axis through an angle 02.
4. Determine weather T1 o Ty = T2 o T1. (a) Tị : R² → R² is the orthogonal projection on the r-axis and T2 : R² → R² is the counterclockwise rotation through an angle 0. (b) Tị : R® → R® is the rotation about the r-axis through an angle 01 and T2 : Rº → R® is the rotation about the z-axis through an angle 02.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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