Regular PHYS 2023/2024.4

The course introduces students to the concept of vectors, vector spaces, matrices, solutions of linear systems and linear transformations. At the end of the course, the students should be able to: Perform elementary matrix operations of addition, subtraction and multiplication. Compute the determinants of square matrices of order up to 4x4.   Find the inverse of an invertible matrix using cofactors and augmented matrices. Solve systems of linear equations in several variables. Perform elementary operations on vectors and determine if given vectors are linearly independent or dependent. Determine if given sets are subspaces of a vector space or not. Determine if a given transformation is linear or not. Find the matrix representation of a linear transformation relative to a given basis.