4. Suppose I have 2 x 2 matrix A with eigenvalue A1 = 1, A2 = 1 (repeated eigenvalue) and corre- sponding eigenvectors v = [1, 1] and v2 = [0, 1]. (a) What is the geometric multiplicty of this eigenvalue? What is the algebraic multiplicity of this eigenvalue? What is the defect? (b) What is etA? (c) Solve x = Až with x(0) = [3, 4].

4. Suppose I have 2 x 2 matrix A with eigenvalue A1 = 1, A2 = 1 (repeated eigenvalue) and corre- sponding eigenvectors v = [1, 1] and v2 = [0, 1]. (a) What is the geometric multiplicty of this eigenvalue? What is the algebraic multiplicity of this eigenvalue? What is the defect? (b) What is etA? (c) Solve x = Až with x(0) = [3, 4].

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 80E

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