Alternating Current (ac) Circuits The current I, in amperes, flowing through an ac (alternating current) circuit at time t, in seconds, is I1t2 = 220 sina60pt - p 6 b t 0 What is the period? What is the amplitude? What is the phase shift? Graph this function over two periods

M303 Section 5.1 Notes- Introduction to “Eigenstuff”; Diagonalization 11-30-16 From here on, only consider square matrices ( ) If is × , then gives rise to liner map :ℝ → ℝ givn by = o Since source and target dimensions are identical, can compare inputs and outputs Focus on vectors on which has particularly simple effect Eigenvector of matrix - nonzero vector such that = , where ℝ o uniquely determined and called the eigenvalue of (for ); we call a -eigenvector o Eigenvalues of are scalars for which there