Solution of linear systems

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

October 21, 2026March 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.

7-A Solved Problem 9-5: LU decomposition.

October 21, 2026February 25, 2024 by Maged kamel

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

6a- Easy approach to permutation matrix-Part 2

October 21, 2026February 10, 2024 by Maged kamel

Brief illustration of Post 6a numeric linear

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, 2026February 7, 2024 by Maged kamel

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

5c- Solved Problem for x-y-z values by LU decomposition.

October 21, 2026February 3, 2024 by Maged kamel

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

5b-Find the three unknowns for the Second solved Problem

October 21, 2026February 2, 2024 by Maged kamel

The content of post 5b-numerical linear.

Find the three unknowns for the Second solved problem. Two method to be used to solve for x1, x2 and x3.

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

October 21, 2026January 20, 2021 by Maged kamel

Second solved problem-LU decomposition-3×3 matrix-part 1-Find L and U.

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, 2026January 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?