Which of the following types of matrices are always diagonalizable? Select one or more: O a. the matrix of a rotation about the origin in R? O b. The 0 matrix, (i.e. a matrix all of whose entries are 0) O c. the matrix of an orthogonal projection O d. Symmetric matrices O e. A 3x3 matrix with 3 distinct eigenvalues.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 64CR: a Find a symmetric matrix B such that B2=A for A=[2112] b Generalize the result of part a by proving...
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Which of the following types of matrices are always diagonalizable?

Which of the following types of matrices are always
diagonalizable?
Select one or more:
O a. the matrix of a rotation about the origin in
R2
O b. The 0 matrix, (i.e. a matrix all of whose
entries are 0)
O c. the matrix of an orthogonal projection
O d. Symmetric matrices
O e. A 3x3 matrix with 3 distinct eigenvalues.
Transcribed Image Text:Which of the following types of matrices are always diagonalizable? Select one or more: O a. the matrix of a rotation about the origin in R2 O b. The 0 matrix, (i.e. a matrix all of whose entries are 0) O c. the matrix of an orthogonal projection O d. Symmetric matrices O e. A 3x3 matrix with 3 distinct eigenvalues.
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