Week 5 MLF

Question 1

What are hermitian matrices?

Answer 1

Hermitian matrices are the equivalent of symmetric matrices in the complex vector space.
A*=A ( the complext conjugate of the matrix is the matrix itself)

Question 2

Are hermitian matrices are orthogonally diagnizable?

Question 3

What does inner product of a complex number mean?

Answer 3

x.y = x1bar-Transpose.y + x2bar -Transpose.y+…. + xn-barTranspose.y

Question 4

Is inner product commutative in complex space?

Answer 4

x-Transpose.y is NOT equal to y-Transpose x

Question 5

What is the length of a vector in Complex Space?

Answer 5

x-bar-Transpose.x

Question 6

What is a congugate transpose?

Answer 6

A* = A-bar-Transpose or A-Transpose-Bar

where A* is the conjugate transpose.