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For the linear map given by the matrix A below, you may use without calculation that chT (x) = (x − 1)3. Determine (i) the minimal polynomial, (ii) a Jordan basis (iii) the Jordan normal form.

For the linear map given by the matrix A below, you may use without calculation that chT (x) = (x − 1)3. Determine (i) the minimal polynomial, (ii) a Jordan basis (iii) the Jordan normal form.

Advanced Engineering Mathematics
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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  1. For the linear map given by the matrix A below, you may use without calculation that chT (x) = (x − 1)3.

    Determine (i) the minimal polynomial, (ii) a Jordan basis (iii) the Jordan normal form.

    432 A=−4 −3 −3

    112

2. For the linear map given by the matrix A below, you may use without calculation that chr(x) = (x - 1)³. Determine (i) the minimal polynomial, (ii) a Jordan basis (iii) the Jordan normal form. 4 3 2 +- (²) A = -4 -3 -3 1 1 2
Transcribed Image Text:2. For the linear map given by the matrix A below, you may use without calculation that chr(x) = (x - 1)³. Determine (i) the minimal polynomial, (ii) a Jordan basis (iii) the Jordan normal form. 4 3 2 +- (²) A = -4 -3 -3 1 1 2
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