Solution of linear systems

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

September 18, 2025November 1, 2024 by Maged kamel

Two solved problems for The Crout's LU decomposition.

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

September 18, 2025October 29, 2024 by Maged kamel

brief illustration post 9 numerical linear

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

September 18, 2025April 1, 2024 by Maged kamel

Crout's LU decomposition for a 3x3 matrix-Option 1

How to drive Crout’s LU decomposition for a 3×3 matrix-option-1? 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.

September 18, 2025March 5, 2024 by Maged kamel

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.

6a- Easy approach to permutation matrix-part 2

October 21, 2025November 22, 2023 by Maged kamel

An easy approach to permutation matrix-part 2.

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

6- Easy introduction to permutation matrix

October 21, 2025November 22, 2023 by Maged kamel

An 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?

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

October 21, 2025January 20, 2021 by Maged kamel

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

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

October 21, 2025January 15, 2021 by Maged kamel

First solved problem-LU decomposition for the 3x3 matrix.

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