## 14a-Solution of linear systems by LU-partial pivoting-2/2

linear systems by LU-partial pivoting-2/2. We will estimate the inverse of matrix A to get the values of the three unkowns.

The numerical analysis falls into several subdivisions, as follows

1-Introduction to numerical analysis.

2-Solving non-linear equations.

3-Solving Linear equations.

4-Interpolation.

linear systems by LU-partial pivoting-2/2. We will estimate the inverse of matrix A to get the values of the three unkowns.

This is the first part of the solution of linear systems by LU-partial pivoting. We want to find the value of the three unknowns by using Lu-partial pivot

In this post, we have a discussion, new solved problem for which our concern is

How to get x1,x2,x3-using Gaussian-partial pivot?. we have a partial pivot at due to zero value of a11.

In this post, there is a Solved Example for LU decomposition-partial pivoting. A step-by-step guide to find the values of L and U matrices and perform the final check.

In the Permutation matrix-part 2, we continue the discussion about the various types of Permutation matrices.

The post includes an introduction to the permutation matrix for both 2×2 and 3×3 matrices. How to change the arrangement of rows and columns for matrices?

The post includes the illustration of two solved problems for 3×3 matrix by Crout’s LU decomposition. Option 1 is used for which matrix is converted to a lower matrix.

A Second option for Crout’s LU decomposition-3×3 matrix. How to covert the A matrix to an upper matrix? How to get the values of L and U matrices?

Two Solved problems for Newton-divided differences are given for more information about the method.

Learn about deriving the expression of Newton-Divided difference interpolation function and how to derive the expression.