In 714, find the amount that results from each investment. $300 invested at 12% compounded monthly after a period of 1 1 2 years

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