Solution of linear systems

5b-Find the three unknowns for Second solved problem

January 27, 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

January 25, 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

December 14, 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?

4-Derive the expression for L-U values for-3×3 matrix.

January 25, 2026January 1, 2021 by Maged kamel

Brief illustration of Post 4- numerical linear.

Step-by-step guide on how to derive the expression for L-U values for-3×3 matrix using Doolittle’s method?

3-How to solve for x-y by L-U Decomposition?

January 25, 2026December 20, 2020 by Maged kamel

How to solve for x-y by L-U Decomposition? Illustration by Gauss elimination for L and U matrices.

2- Easy illustration for LU decomposition for 2×2 matrix

December 25, 2025December 14, 2020 by Maged kamel

How to use the Lu decomposition method for a 2×2 matrix? A step-by-step guide to find L and U values?

1- Easy introduction to the Inverse of a Matrix-2×2 matrix.

December 14, 2025October 15, 2020 by Maged kamel

Easy introduction to Inverse of a Matrix-2x2 matrix.

How to get the inverse of a matrix by creating an identity matrix. A solved example is given for the inverse of a 2×2 matrix.