The matrix has two distinct eigenvalues with X₁ < A₂. The smaller eigenvalue X₁ = The larger eigenvalue X2 = Is the matrix C diagonalizable? choose has multiplicity has multiplicity C = -11 2 -127 -20 -1 -36 6 -1 7 and the dimension of the corresponding eigenspace is and the dimension of the corresponding eigenspace is

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 7EQ
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The matrix
has two distinct eigenvalues with λ₁ < A₂.
The smaller eigenvalue X₁
=
The larger eigenvalue X₂ =
Is the matrix C diagonalizable? choose
has multiplicity
has multiplicity
C:
-11 2
-12
-20 -1 -36
6
-1 7
and the dimension of the corresponding eigenspace is
and the dimension of the corresponding eigenspace is
Transcribed Image Text:The matrix has two distinct eigenvalues with λ₁ < A₂. The smaller eigenvalue X₁ = The larger eigenvalue X₂ = Is the matrix C diagonalizable? choose has multiplicity has multiplicity C: -11 2 -12 -20 -1 -36 6 -1 7 and the dimension of the corresponding eigenspace is and the dimension of the corresponding eigenspace is
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