Question

Prove that The Eigen values of real symmetric matrix are real.​

Answer 1

Answer:

The Spectral Theorem states that if A is an n × n symmetric matrix with real entries, then it has n orthogonal eigenvectors. The first step of the proof is to show that all the roots of the characteristic polynomial of A (i.e. the eigenvalues of A) are real numbers.

Answer 2

Answer:

Prove that the eigen values of a real symmetric matrix are real.