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[1-2 8 Let A= 0-1 0 be given. Which of the following statements is false? 0 0-1] The eigenvalues of A are A=A2 = - 1, A3 = 1. The eigenvectors corresponding to A=1 is where r is any real number. -1 0 0 (c) If D= o -1 0 and P= 0 1 0 0 0 1 1 1 -4 then A=PDPT- holds. 0 0 1 A is diagonalizable.

[1-2 8 Let A= 0-1 0 be given. Which of the following statements is false? 0 0-1] The eigenvalues of A are A=A2 = - 1, A3 = 1. The eigenvectors corresponding to A=1 is where r is any real number. -1 0 0 (c) If D= o -1 0 and P= 0 1 0 0 0 1 1 1 -4 then A=PDPT- holds. 0 0 1 A is diagonalizable.

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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1-2 8 Let A= 0-1 0 be given. Which of the following statements is false? 0 0 1 The eigenvalues of A are A1=d2= - 1, 13= 1. %3D The eigenvectors corresponding to A=1 is | 0 where r is any real number. 1 0 0 (c) If D= 0-10 and P= 0 1 0 0 0 1 1 1 -4 1 then A=PDP holds. 0 0 1 A is diagonalizable.
Transcribed Image Text:1-2 8 Let A= 0-1 0 be given. Which of the following statements is false? 0 0 1 The eigenvalues of A are A1=d2= - 1, 13= 1. %3D The eigenvectors corresponding to A=1 is | 0 where r is any real number. 1 0 0 (c) If D= 0-10 and P= 0 1 0 0 0 1 1 1 -4 1 then A=PDP holds. 0 0 1 A is diagonalizable.
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