Let T: R5 → R5 be a linear operator whose characteristic polynomial is pT(x) = (x−3)3(x−5)2. Let V3 and V5 be the eigenspaces associated with eigenvalues 3 and 5, respectively. Judge each item below as true or false. (A) If dimV3 = 3 and dimV5 = 2, then there exists a basis of R5 such that the matrix of T in that basis is

Let T: R5 → R5 be a linear operator whose characteristic polynomial is pT(x) = (x−3)3(x−5)2. Let V3 and V5 be the eigenspaces associated with eigenvalues 3 and 5, respectively. Judge each item below as true or false. (A) If dimV3 = 3 and dimV5 = 2, then there exists a basis of R5 such that the matrix of T in that basis is

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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