# 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.

## 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.

## 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.

## 11a- Easy approach to permutation matrix-part 2.

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

## 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?

## 9- Crout’s LU decomposition for a 3×3 matrix-Option 1

How to drive Crout’s LU decomposition for a 3×3 matrix? Step-by-step introduction to Crout’s LU decomposition for a 3×3 matrix.

## 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.

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