# 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 2x2 matrices and 3x3 matrices.

### 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 2x2 and 3x3 matrices. How to change the arrangement...

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

The post includes the illustration of two solved problems for 3x3 matrix by Crout's LU decomposition. Option 1 is used...

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

How to drive Crout's LU decomposition for a 3x3 matrix? Step-by-step introduction to Crout's LU decomposition for a 3x3 matrix.

### 8-Introduction to Crout’s LU decomposition for a 2×2 matrix.

How to drive Crout's LU decomposition for a 2x2 matrix? Step-by-step introduction to Crout's LU decomposition with a solved problem.

### 7-Solved problem 9-5 LU decomposition.

Solved problem 9-5 LU decomposition from reference book Numerical methods for engineers. We will verify our solution with the author's...

### 6- Solved problem for x-y-z values by LU decomposition.

The solved problem for x-y-z values by using the LU decomposition. for three simultaneous equations. Step by step illustration is...

### 5A- Second solved problem-LU decomposition-3×3 matrix.

The second solved problem-LU decomposition for the 3x3 matrices, how to get x,y,z values for three simultaneous equations?

### 5- First solved problem-LU decomposition for the 3×3 matrix.

This post illustrates the first solved problem-LU decomposition for the 3x3 matrix. Step by step guide to solve 3 simultaneous...