?Checking Up on Eigenvalues In a quadratic equation with leading coefficient I, negative
Chapter 5, Problem 52(choose chapter or problem)
Checking Up on Eigenvalues In a quadratic equation with leading coefficient I, negative of the coefficient of the linear term is the sum of the roots, and the constant term is the product of the roots.
(a) Prove these properties by expanding the factored quadratic
\(\left(x-\lambda_{1}\right)\left(x-\lambda_{2}\right)=0\)
(b) Compare this result to equation (5). Explain how to determine from a matrix, without solving the characteristic equation, the sum and product of its eigenvalues.
(c) Illustrate these results for the matrix
\(\left[\begin{array}{ll} 3 & 2 \\ 2 & 0 \end{array}\right]\)
Equation Transcription:
Text Transcription:
(x-lambda_1 ) (x-lambda_2 ) = 0
[3 2 _ 2 0]
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer