Hi! First off, I am actually a math / econ major. I hope I'm still welcome here I am trying to figure out if it's worth it to take both of these courses or just one of them. I have not taken LA before. Course 1: Addition, subtraction and scalar multiplication of vectors, length of vector, distance between vectors and the inner product between vectors, lines and planes in space, hyperplane, parametric and normal equations for lines and planes in space and linearly dependent and independent vectors. Apply addition and multiplication of matrices, identity, inverse matrix and linear system of equations in matrix form. Apply Gauss-Jordan elimination to solve linear equations. Determine the rank of a matrix and explain how the range can be used to classify linear system of equations. You will also be able to calculate determinants and could use Cramer's rules for solving linear system of equations. Text: Simon & Blume, Math for econ Course 2: Solving homogeneous and inhomogeneous linear equations Understand and apply the rules of matrix algebra Calculating determinants in specific cases Reproduce definitions and concepts related to vector spaces and their dimensions. Using the theory of eigenvalues and eigenvectors to answer questions about linear equations. Applying the theory of orthogonality on least squares method. Using the theory of eigenvalues and eigenvectors to studying quadratic forms. Text: David C. Lay,Linear Algebra and Its Applications I will be taking course 1, because I need it for credit (it counts towards my econ-credits, as it is taught by the econ department). If I don't take course 2 (by math department) (would take two semesters after), I will be able to take Measure theory - which I would like to take. I guess my main question is, would course 1 provide me with adequate LA skills to handle later courses (I am taking real analysis the semesters after, then measure theory). Is course 1 rigorous enough (for mentioned courses)? I am also taking LA to handle graduate Econometrics and time series.