Mathematics Homework Help

‘m working on a algebra question and need an explanation to help me understand better.

What does Matlab do when asked to provide the eigenvalues of an n × n matrix (such as

1 1

0 1

) which has fewer than n linearly independent eigenvectors? How could you use

Matlab to determine when a large n × n matrix has fewer than n linearly independent

eigenvectors? Illustrate your method in Matlab.

8. The Matlab command randn(n) creates an n×n matrix in which each entry is a random

number chosen from the normal distribution.

(a) Create such a 4 × 4 matrix and use Matlab to find its ei