Let the characteristic equation of a 3 X 3 Matrix A be X3 + ad² + 47) – 60 = 0 if one eigenvalue of A is 4 and a is an integer value, then what is the smallest eigenvalue of A? -

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 the characteristic equation of a 3 X 3 Matrix
A be X3 + a² + 47X – 60 = 0 if one
eigenvalue of A is 4 and a is an integer value,
then what is the smallest eigenvalue of A?
-
Transcribed Image Text:Let the characteristic equation of a 3 X 3 Matrix A be X3 + a² + 47X – 60 = 0 if one eigenvalue of A is 4 and a is an integer value, then what is the smallest eigenvalue of A? -
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