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Let the matrix below act on C2. Find the eigenvalues and a basis for each eigenspace in C². 32 -2 3 32 The eigenvalues of are 3+2i,3-2i -2 3 (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) A basis for the eigenspace corresponding to the eigenvalue a + bi, where b > 0, is (Type an exact answer, using radicals and i as needed.) A basis for the eigenspace corresponding to the eigenvalue a - bi where b > 0, is (Type an exact answer, using radicals and i as needed.) i -i

Let the matrix below act on C2. Find the eigenvalues and a basis for each eigenspace in C². 32 -2 3 32 The eigenvalues of are 3+2i,3-2i -2 3 (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) A basis for the eigenspace corresponding to the eigenvalue a + bi, where b > 0, is (Type an exact answer, using radicals and i as needed.) A basis for the eigenspace corresponding to the eigenvalue a - bi where b > 0, is (Type an exact answer, using radicals and i as needed.) i -i

Elementary Linear Algebra (MindTap Course List)
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 78E: Find all values of the angle for which the matrix A=[cossinsincos] has real eigenvalues. Interpret...
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Let the matrix below act on C2. Find the eigenvalues and a basis for each eigenspace in C². 32 -2 3 32 The eigenvalues of are 3+2i,3-2i -2 3 (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) A basis for the eigenspace corresponding to the eigenvalue a + bi, where b > 0, is (Type an exact answer, using radicals and i as needed.) A basis for the eigenspace corresponding to the eigenvalue a - bi where b > 0, is (Type an exact answer, using radicals and i as needed.) i -i
Transcribed Image Text:Let the matrix below act on C2. Find the eigenvalues and a basis for each eigenspace in C². 32 -2 3 32 The eigenvalues of are 3+2i,3-2i -2 3 (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) A basis for the eigenspace corresponding to the eigenvalue a + bi, where b > 0, is (Type an exact answer, using radicals and i as needed.) A basis for the eigenspace corresponding to the eigenvalue a - bi where b > 0, is (Type an exact answer, using radicals and i as needed.) i -i
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