True or false: a. A product of two self-adjoint matrices is self-adjoint.
b. If A is self-adjoint, then Ak is self-adjoint.

Justify your conclusions

Option a is "False".

Option b is "True".

Step-by-step explanation:

In point a:

Prove AB=BA

Solve L.H.S part:

Solve R.H.S part:

So,

In point b:

if it holds the trivially

by assuming that if it is true for

that is

use above equations

that's why it is true.