(10) 3. Let T: Q4 Q4 be the linear operator with matrix with respect to the standard basis. A== го 0 0- 00 1000 010 2 LO 0 1 0 (a) Find the characteristic polynomial and the minimal polynomial of T. (b) Find the Jordan normal form of T.

(10) 3. Let T: Q4 Q4 be the linear operator with matrix with respect to the standard basis. A== го 0 0- 00 1000 010 2 LO 0 1 0 (a) Find the characteristic polynomial and the minimal polynomial of T. (b) Find the Jordan normal form of T.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 8E

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Question

(10) 3. Let T: Q4 Q4 be the linear operator with matrix
with respect to the standard basis.
A==
го 0 0-
00
1000
010 2
LO 0 1 0
(a) Find the characteristic polynomial and the minimal polynomial of T.
(b) Find the Jordan normal form of T.

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