# Answer to Question #42863 in Linear Algebra for Anurodh

Question #42863

Which of the following matrices are Hermitian and which are Unitary? Justify your answer.

A = 1 i 0 B= 1/√2 0 -1/√2

-i 1 1-i 0 1 0

0 1+i 2 V2i 0 V2i

A = 1 i 0 B= 1/√2 0 -1/√2

-i 1 1-i 0 1 0

0 1+i 2 V2i 0 V2i

Expert's answer

Matrix A is Hermitian, because ientries are equal to own conjugate transpose. Matrix B is not Hermitian, because conjugate transpose of √2i is equal to -√2i, not -1/√2. Both matrices are not Unitary, because absolute value of every determinant is not equal to one. Determinant of A is equal to -2 , determinant of B is equal to 2i.

Need a fast expert's response?

Submit orderand get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

## Comments

## Leave a comment