11. Find a basis for the T-cyclic subspace W of the operator T: V→V generated by the vector 2: V=R³, T(a, b, c) = (a+b+c, 3b, a - c), z = (1,0,0).
11. Find a basis for the T-cyclic subspace W of the operator T: V→V generated by the vector 2: V=R³, T(a, b, c) = (a+b+c, 3b, a - c), z = (1,0,0).
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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Answer: Basis for W: ((1, 0, 0), (1,0,1)). Characteristic polynomial for Tw: g(t) = t2 - 2.
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