Homework SourseExplain why an n x n matrix can have at most n distinct eige
Explain why an n x n matrix can have at most n distinct eigenvalues
Explain why an n x n matrix can have at most n distinct eigenvalues
Solution
The characteristic equation of nxn matrix is a polynomial of order n.
Hence it can have atomost n disticitive eigen values.
Number of roots of polynomial of order n is < =n
