Exercise 5.4.10

Calculate the characteristic polynomial is the problem of the first section and determine whether on polynomial is divided by the other is the problem in senior high.

1.

The characteristic polynomial is $$t^4-4t^3+6t^2-3t.$$

2.

The characteristic polynomial is $t^4$.

3.

The characteristic polynomial is $$t^4-2t^3+2t-1.$$

4.

The characteristic polynomial is $$t^4-6t^3+9t^2.$$