Matlab (Linear algebra)

LAB 3: LU Decomposition and Determinants In this lab you will use MATLAB to study the following topics: Comparison of the computation time to solve Ax b by Gaussian elimination vs. solution by LU . The determinant of a square matrix, how it changes under row operations and matrix multiplication, . The geometric properties of special types of matrices (rotations, dilations, shears) The LU decomposition of an invertible square matrix A How to use the LU decomposition to solve the system of linear equations Ax b. decomposition of A and how it can be calculated efficiently by the LU decomposition LAB 3: LU Decomposition and Determinants In this lab you will use MATLAB to study the following topics: Comparison of the computation time to solve Ax b by Gaussian elimination vs. solution by LU . The determinant of a square matrix, how it changes under row operations and matrix multiplication, . The geometric properties of special types of matrices (rotations, dilations, shears) The LU decomposition of an invertible square matrix A How to use the LU decomposition to solve the system of linear equations Ax b. decomposition of A and how it can be calculated efficiently by the LU decomposition