[-1 0 87 -4 3 8 -2 07 has a single real elgenvalue λ = 3 with algebraic multiplicity three. (a) Find a basis for the associated eigenspace. The matrix A= Basis = (b) is the matrix A defective? DA. A is defective because the geometric multiplicity of the eigenvalue is less than the algebraic multiplicity OB. A is not defective because the elgenvectors are linearly independent Oc. A is defective because it has only one eigenvalue OD. A is not defective because the eigenvalue has algebraic multiplicity three
[-1 0 87 -4 3 8 -2 07 has a single real elgenvalue λ = 3 with algebraic multiplicity three. (a) Find a basis for the associated eigenspace. The matrix A= Basis = (b) is the matrix A defective? DA. A is defective because the geometric multiplicity of the eigenvalue is less than the algebraic multiplicity OB. A is not defective because the elgenvectors are linearly independent Oc. A is defective because it has only one eigenvalue OD. A is not defective because the eigenvalue has algebraic multiplicity three
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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