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Problem 3: Give a Jordan basis and the Jordan normal form for the following complex 4 x 4-matrix: A = 31 0 1 -1 1 2 0 00 6 4 00 -4 -2 Hint: the matrix A is block triangular, hence its characteristic polynomial is equal to the product of the characteristic polynomials of 3 6 4 (-₁1) and (-_^_^). -4 -2

Problem 3: Give a Jordan basis and the Jordan normal form for the following complex 4 x 4-matrix: A = 31 0 1 -1 1 2 0 00 6 4 00 -4 -2 Hint: the matrix A is block triangular, hence its characteristic polynomial is equal to the product of the characteristic polynomials of 3 6 4 (-₁1) and (-_^_^). -4 -2

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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Problem 3: Give a Jordan basis and the Jordan normal form for the following complex 4 x 4-matrix: A = 31 0 1 2 0 6 4 00-4-2 -1 1 00 Hint: the matrix A is block triangular, hence its characteristic polynomial is equal to the product of the characteristic polynomials of 6 4 (-31) and ( $_2). -4 -2
Transcribed Image Text:Problem 3: Give a Jordan basis and the Jordan normal form for the following complex 4 x 4-matrix: A = 31 0 1 2 0 6 4 00-4-2 -1 1 00 Hint: the matrix A is block triangular, hence its characteristic polynomial is equal to the product of the characteristic polynomials of 6 4 (-31) and ( $_2). -4 -2
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