Consider the 2 X 2 matrix M= (\begin{±atrix} 0 & a \\\ a & b... | Physics | SolveeIt | Solveeit

Today, August 23

Question

Consider the 2 X 2 matrix M= $\begin{pmatrix} 0 & a \\\ a & b \end{pmatrix}$ , where a,b $\gt$ 0. Then,

A

M is a real symmetric matrix

B

One of the eigenvalues of M is greater than b

C

One of the eigenvalues of M is negative

D

Product of eigenvalues of M is b

Answer

M is a real symmetric matrix

Explanation

Solution

The correct option is (A): M is a real symmetric matrix, (B): One of the eigenvalues of M is greater than b and (C): One of the eigenvalues of M is negative