Show that any operator Q^Q^ can be written as a sum of a hermitian operator A^A^ and an anti-hermitian operator B^B^, and give expressions for A^A^ and B^B^ in terms of Q^Q^ and its adjoint Q^†Q^†.

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn. if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.

What number is 7 units left of -15?

Which of the following statements would be sufficient to prove that parallelograms pqrs is a rectangle ?