Question

what is the minimal polynomial for identity operator on V​

Answer 1

Answer:

Step-by-step explanation:

Solution: The minimal polynomial for the identity operator is p(x) = x − 1.

It is monic, of degree 1 and it annihilates the identity operator. The minimal

polynomial for the zero operator is p(x) = x.

Exercise 3. Let A be the 4 × 4 real matrix

Show that the characteristic polynomial for A is x

2

(x − 1)2 and that it is also the

minimal polynomial.