diagonalizes A, and determine P1AP (Notice that the order of the eigenvalues and corresponding eigenvectors can be different from yours and that the eigenvectors are defined accurately to the factor (sign).) -2 -2 25 - 25 A = 3 3 O A = -2. Algebraic multiplicity = 2, Geometric multiplicity = 1. 1 = 3. Algebraic multiplicity = Geometric multiplicity = 2. A is not diagonalizable. O A = -2. Algebraic multiplicity = Geometric multiplicity = 2. A = 3. Algebraic multiplicity = Geometric multiplicity = 2. 0 1 0 0 -2 0 0 0 1 0 -5 5 P = 0 0 0 -2 0 p-'AP = 0 1 0 3 0 0 0 1 0 0 0 3 O A = -2. Algebraic multiplicity = Geometric multiplicity = 2. A = 3. Algebraic multiplicity = Geometric multiplicity = 2.
diagonalizes A, and determine P1AP (Notice that the order of the eigenvalues and corresponding eigenvectors can be different from yours and that the eigenvectors are defined accurately to the factor (sign).) -2 -2 25 - 25 A = 3 3 O A = -2. Algebraic multiplicity = 2, Geometric multiplicity = 1. 1 = 3. Algebraic multiplicity = Geometric multiplicity = 2. A is not diagonalizable. O A = -2. Algebraic multiplicity = Geometric multiplicity = 2. A = 3. Algebraic multiplicity = Geometric multiplicity = 2. 0 1 0 0 -2 0 0 0 1 0 -5 5 P = 0 0 0 -2 0 p-'AP = 0 1 0 3 0 0 0 1 0 0 0 3 O A = -2. Algebraic multiplicity = Geometric multiplicity = 2. A = 3. Algebraic multiplicity = Geometric multiplicity = 2.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.5: Iterative Methods For Computing Eigenvalues
Problem 3EQ
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