Title matrix-linear.pdf ✅

Learning Outcomes At the end of this session, students should be able to: 1. Review the basic concepts & operations involving matrices. 2. Formulate linear systems with equivalent matrix representations. 3. Solve linear systems using Gauss-Jordan method. 4. Explore and use the Eigen C++ library in solving matrices. 5. Use matrix approach for implementing the Method of Joints in solving member forces of determinate. trusses
Basic Concepts ▶ Information in engineering, science and mathematics is often organized into rows and columns to form regular arrays, called matrices. ▶ matrices are tables of numerical data that arise from physical observations ▶ we need ot learn matrices because: ▶ computers are well suited for manipulating arrays of numerical information ▶ matrices are mathematical objects in their own right, and there is a rich and important theory associated with them that has a wide variety of applications
Basic Notation Notes: ▶ dimension of a matrix is given with m × n where m is the number of rows and n is the number of columns ▶ elements are identified with subscripts giving the row, j, and column, k, shown as ajk for the elements of a matrix A