Let A be an nxn diagonalizable matrix. Which one of the following is true Select one: a. Ther exists a basis for R" consisting of eigenvectors of A b. A has no repeated eigenvalues C. All the entries of A that are not on the main diagonal are zero d. The columns of A are linearly independent

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 36EQ: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two...
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Let A be an nxn diagonalizable matrix. Which one of the following is true
Select one:
a.
Ther exists a basis for R" consisting of eigenvectors of A
b. A has no repeated eigenvalues
C. All the entries of A that are not on the main diagonal are zero
d. The columns of A are linearly independent
Transcribed Image Text:Let A be an nxn diagonalizable matrix. Which one of the following is true Select one: a. Ther exists a basis for R" consisting of eigenvectors of A b. A has no repeated eigenvalues C. All the entries of A that are not on the main diagonal are zero d. The columns of A are linearly independent
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