Find the standard matrix for the linear operator T: R3 —) R3 that first transform by the formula T(x,y,z) = (x-y+z,-x+y,y-z), then rotate the resulting vector anti clockwise about the z-axis through an angle θ = 120°, and then project the resulting vector about zx-plane. Hence compute T(1,0,1). 5. Find the standard matrix for the linear operator T:R3 → R3 that first transform by theformula T(x, y, z) = (x- y +z,-x + y, y - z), then rotate the resulting vector anticlockwise about the z-axis through an angle 0 = 120', and then project the resultingvector about zx-plane. Hence compute T(1,0,1).

Given we have given a linear operator T:R3→R3 that transform by the formula T(x, y, z)=(x-y+z,…

5. Find the standard matrix for the linear operator T: R3 → R3 that first transform by the formula T(x, y, z) = (x – y+ z,-x + y,y- z), then rotate the resulting vector anti clockwise about the z-axis through an angle 0 = 120', and then project the resulting vector about zx-plane. Hence compute T(1,0,1). %3D

5. Find the standard matrix for the linear operator T: R3 → R3 that first transform by the formula T(x, y, z) = (x – y+ z,-x + y,y- z), then rotate the resulting vector anti clockwise about the z-axis through an angle 0 = 120', and then project the resulting vector about zx-plane. Hence compute T(1,0,1). %3D

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.6: Introduction To Linear Transformations

Problem 55EQ

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