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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.

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

August 10, 2025November 20, 2020 by Maged kamel
How to solve for x-y by L-U Decomposition?

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

Categories Solution of linear systems Tags solving for the x and y for two equations by L/U Decomposition-Doolittle's method.

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

August 10, 2025November 14, 2020 by Maged kamel
Easy illustration for LU decomposition for 2×2 matrix.

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

Categories Solution of linear systems Tags How to find the L/U decomposition for the 2x2 matrix-Doolittle's method?

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

August 6, 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.

Categories Solution of linear systems Tags Find the inverse of a 2x2 matrix
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Compact and non compact sections. (1) Deflection of steel beams (3) Discontinuity functions table for loads (2) Find Zx and Mp for a given I shape. (1) Inertia Ix for Parallelogram. (2) Introduction to Macaulay's function and singularity function. (1) introduction to Tension members (2) LU-partial pivoting (2) Mohr's circle of inertia part 2 (2) Permutation matrix. (2) Practice problem 5-2-3 verify Zx for W18x50 (1) Simple interest and compound interest (2) Solved problem 8-32, finding the plastic nominal load (2) Solved problems for the net area. (2) steel beam posts part -2a (1) Two Practice problems for Ixy for trapezium (1) Video for Ix and Iy of an isosceles (1) Video for Ixy for an isosceles triangle (1) x bar for a right angle triangle (2) y bar for a right angle triangle by integration. (2)

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