Quiz

May 3, 2006

Topic: Computation of Eigenvalues

What are the determinants of the following matrices:

({{-3, 4}, {7, -5}}) 

({{1, 1/2, 1/3}, {1/2, 1/3, 1/4}, {1/3, 1/4, 1/5}}) 

What are the eigenvalues and eigenvectors of the matrix:

A = ({{-3, 4}, {7, -5}})

The determinant of A is ________________ (simplify to an integer).

The smallest eigenvalue of A is _______________ and its eigenvector is






The largest eigenvalue of A is _______________ and its eigenvector is






The product of the eigenvalues of A is ___________________ (simplify to an integer).


Created by Mathematica  (May 2, 2006) Valid XHTML 1.1!