True or False: If A is an invertible orthogonally matrix, then A−¹ is orthogonally diagonalizable diagonalizable. O True, if A is symmetric then A-¹ is also symmetric. O False, if A is symmetric then A-¹ is skew-symmetric and skew-symmetric matrices aren't orthogonally diagonalizable. O False, if A = SBST, where B is diagonal and S is orthogonal, then A-¹ = (S-¹) BS-¹, but S-1 may not be an orthogonal matrix. O True if A is orthogonally diagonalizable then A is a rotation matrix and A-¹ is rotation by the same angle in the opposite direction. 1 pts