Determine if a set of vectors is orthonormal . Determine if a matrix is orthogonal Apply properties of an orthogonal matrix Problem 1: What are the two requirements for a set of vectors to be orthonormal? Problem 2: Are these sets orthonormal? If not, why not? a .Problem 3: What are the requirements for a matrix to be orthogonal? Problem 4: Is this matrix orthogonal? 1/2 1/2 1/2 -1/2 1/2 -1/2 1/2 1/2. Problem 5: Let Q be any orthogonal matrix. a. What is QT Q? b. What matrix projects onto the column space of