A First Course in Linear Algebra · Problem MINM.T11

Matrices — Robert Beezer

Mathematics — Linear Algebra · hermitian-matrices

Problem

Prove that Hermitian matrices (Definition HM) have real entries on the diagonal. More precisely, suppose that

A

is a Hermitian matrix of size

n

. Then

[A]_{ii} \in \mathbb{R}

1 \leq i \leq n