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7 matrix with the following properties: inct eigenvalues Inote that some of the picon

7 matrix with the following properties: inct eigenvalues Inote that some of the picon

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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7. Let B be a 7 by 7 matrix with the following properties: B has 3 distinct eigenvalues (note that some of the eigenvalues have multiplicities bigger than 1) The null space of B has dimension 2 The null space of B4 has dimension 3 The null space of (B-21)2 has dimension 1 There exist two eigenvectors with eigenvalue -1 ● Find the Jordan form for the matrix B
Transcribed Image Text:7. Let B be a 7 by 7 matrix with the following properties: B has 3 distinct eigenvalues (note that some of the eigenvalues have multiplicities bigger than 1) The null space of B has dimension 2 The null space of B4 has dimension 3 The null space of (B-21)2 has dimension 1 There exist two eigenvectors with eigenvalue -1 ● Find the Jordan form for the matrix B
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