# Solution of linear systems

How to use the different techniques to solve linear systems? A discussion of Lower upper factorization is presented with full detailed solved problems for 2×2 matrices and 3×3 matrices. ## 14-Solution of linear systems by LU-partial pivoting-1/2.

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 ## 13-How to get x1,x2,x3-using Gaussian-partial pivoting?

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. ## 12- Solved example for LU decomposition-partial pivoting.

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. ## 11- Easy introduction to permutation matrix.

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? ## 10-Solved problems for 3×3 matrix by Crout’s LU-option 1.

Two solved problems for 3×3 matrix by Crout’s LU decomposition. Option 1 is used for which the matrix is converted to a lower matrix. ## 9A- A Second option for Crout’s LU decomposition-3×3 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? ## 8-Introduction to Crout’s LU decomposition for a 2×2 matrix.

How to drive Crout’s LU decomposition for a 2×2 matrix? Step-by-step introduction to Crout’s LU decomposition with a solved problem.

Scroll to Top