virtual gate

Question

Answer 1

A matrix is said to be unitary if

 $AA^{\theta } =I$  (1)

Let us take an element a+ib.

Now putting in (1) we get

 (a-ib)(a+ib)=I

$a^2$ + $b^2$=1

This equation is of a circle. so the roots must lie on the circle.

Answer 2

C) Always lie on the unit circle. Is this correct?

Comments

Im not sure. Can you explain your answer?