# Category: Chapter 8

## Chapter 8 Exercise D

Exercise 1 By Exercise 11 in section 8B the characteristic polynomial is $z^4$ and by 8.46 this is a polynomial multiple of the minimal polynomial. Since $N^3 \neq 0$, it follows that the minimal...

## Chapter 8 Exercise C

Exercise 1 Because $$4 = \operatorname{dim} \mathbb{C}^4 = \operatorname{dim} G(3, T) + \operatorname{dim} G(5, T) + \operatorname{dim} G(8, T),$$ it follows that the multiplicities of the eigenvalues of $T$ are at most...