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 1

The Correct Option is A, B, C

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