Each system is easy to solve because the coefficient matrices are triangular. The symbols L and U denote lower triangular matrix and upper triangular matrices, respectively.īy writing AX = Lux and letting Ux = y, variable x can be solved in two stages. Efficient computerĪlgorithms for handling practical problems can be developed from it. New insights into matrix algebra and has many theoretical and practical uses.
graduate attributes, specifically, professionalĪnother general approach to solve Ax = b is known as the method of LU – Factorization, which provides
Technological Institute of the Philippines - Manila Course: MATH 022A Math & Physics Department ONLINE LECTUREĪpplication of Matrix Operations Name: GROUP 5 Section: CE21S Date Performed: NOVEMDate Submitted: NOVEMBER 4, 2021ġ To identify matrix as the product of a lower triangular matrix L and an upper triangular matrix U.ġ To factor a matrix into a product of elementary matrices.ġ To find and use an LU – factorization of a matrix to solve a system of linear equations.ġ To use matrix multiplication to encode and decode messages.ġ To find the least squares regression line for a set of data.Ģ Demonstrate scientific thinking and the ability to approach scientific resources intelligently.Ģ Utilize MATLAB software in solving linear algebra problems related to their fields ofĢ Infer appropriate conclusions based upon the results of the activity.Ģ Reflect on personal transformation along the T.I.
