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Why is it important to use Hermitian operators to represent observables?

Why is it important to use Hermitian operators to represent observables?

Answer the questions for the Quantum mechanics book
from section 3.3.1 – 3.3.3
Why is it important to use Hermitian operators to represent observables?
What is a connection between measurements and eigenvalues of operators representing observables?
Describe a quantization procedure for observables constructed out of coordinate and momentum?
What are the fundamental commutation relations in quantum mechanics?
What is a quantum Hamiltonian?
section 3.3.4 – 3.3.5
see the attached questions on the file

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