Solution of linear systems

14-Gauss Elimination with Scaled Pivoting- 2×2 Matrix

October 26, 2026 by Maged kamel

Gauss Elimination with Scaled Pivoting- 2x2 Matrix

Gauss Elimination with Scaled Pivoting- 2×2 Matrix. A given example that show how do we use scaled pivoting.

13-Gauss Elimination with Partial Pivoting: 2×2 Matrix

October 26, 2026October 23, 2026 by Maged kamel

Brief Illustration for the content of Post 13 numerical

Gauss Elimination with Partial Pivoting: A Complete Guide- 2×2 Matrix. A given example that show how do we use partial pivoting.

12-Second Solved Problem for a 3×3 Matrix by Crout’s LU -Option 2.

October 23, 2026October 10, 2026 by Maged kamel

Brief details for the content of Post 12

Second solved Problem for a 3×3 Matrix by Crout’s LU-option 2 is used for which the matrix is converted to an upper matrix.

11-First solved Problem for a 3×3 Matrix by Crout’s LU (option 2.

October 19, 2026August 17, 2026 by Maged kamel

First solved problems for 3×3 matrix by Crout’s LU-option 2 is used for which the matrix is converted to an upper matrix.

6b- Practice problems for permutation matrices

October 21, 2026July 31, 2026 by Maged kamel

Brief illustration – post 6b-numerical-linear

Practice problems for permutation matrix. three given practice problems indicates the rules of multiplying P matrix from left and right to a given matrices.

10-Two solved problems for a 3×3 Matrix using Crout’s LU option 1.

October 21, 2026November 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

October 19, 2026October 29, 2024 by Maged kamel

LU decomposition for the Crout's method for 3x3 matrix-option 2

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

October 19, 2026April 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.