Matlab (Linear Algebra)

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