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 2×2 matrices and 3×3 matrices.

Featured image - post 7-numerical-linear.

7-Solved problem 9-5 LU decomposition.

Solution of linear systems / 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.

Brief content of Numerical analysis post 6-linear.

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

Solution of linear systems / 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.

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

Solution of linear systems / 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.

Solution of linear systems / By Maged kamel

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?

Featured image - post 4-numerical-linear.

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

Solution of linear systems / By Maged kamel

Step-by-step guide on how to derive the expression for L-U values for-3×3 matrix? Matrix A is converted to U1 and L1 matrix, then to L2 and U2 matrix.