5. Let S¹{z € C | |z| = 1}, and let p: RS¹ be the standard covering mapgiven by p(t) = e²rit. Consider the product covering map px p: Rx R → S¹ × S¹,and let f: [0, 1] → S¹ × S¹ be the loop given by f(t) = (erit, e6it). Find the liftƒ: [0, 1] → R² of ƒ at (0,0), and sketch both f and f.-

Given that S1=z∈ℂ| z=1. Let p:ℝ→S1 be standard covering map given by pt=e2πit. Now consider the…

Answered: Let S¹ = {z E C | |z| = 1}, and let p:…

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 5CM: Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).

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