Skip to content
"Engineering  Oasis"
  • Home
  • Blog posts
  • linear Algebra -Matrices
  • Discrete Math
  • Engineering Economy
  • First moment of area-plain shapes
  • First moment of area-round shapes.
  • Introduction to Structrural steel
  • Mechanics of materials
    • Discontinuity functions
    • Videos for discontinuity function.
  • Numerical analysis
    • Introduction to Interpolation
    • Solution of linear systems
    • Solving non linear equations
  • Bolted Connection
  • Compression Members
  • Steel Beams
    • Elastic and plastic sections.
    • local buckling
    • Bending of non-compact sections.
    • Block shear for beams-coped
    • Built up sections
    • Cb the coefficient of bending.
    • lateral torsional buckling
    • Design a steel beam using Table 3-10
    • Shear for steel beams
    • Deflection for steel beams
    • Nominal loads-Plastic theory
  • Tension Members
  • Second moment of area for plain shapes
  • Maximum value of Ix and Iy
  • Videos for the Second moment of area
  • Videos for maximum moment of inertia
  • Courses BY SAMAAH SULTAN

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.

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

June 18, 2025January 20, 2021 by Maged kamel
Second solved problem-LU decomposition-3×3 matrix.

The second solved problem-LU decomposition for the 3×3 matrices, how to get x,y,z values for three simultaneous equations?

Categories Solution of linear systems Tags A second Solved problem for LU for 3x3 matrix.

5- First solved problem-LU decomposition for the 3×3 matrix

June 18, 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?

Categories Solution of linear systems Tags Solved problems for Lu decomposition for 3x3 matrix.

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

January 4, 2024December 1, 2020 by Maged kamel
Derive the expression for L-U values for-3×3 matrix.

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.

Categories Solution of linear systems Tags How to derive the expression for L-U values for-3x3 matrix?

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

March 21, 2024November 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-Cholesky.

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

May 11, 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?

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

March 21, 2024October 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 Linear systems of Equations.

Categories

Case 2 for block Shear-Coped Beam Problem (1) CB value-bracing at the midpoint of a beam-uniform load (1) CB value-bracing at third points of a beam-uniform load (1) Deflection of steel beams (3) Discontinuity functions table for loads (2) Effective length factor for an inelastic column. (1) How to design a steel beam? (1) Inertia Ix for Parallelogram. (2) introduction to Tension members (2) list of steel beams posts-part -4a (1) LU-partial pivoting (2) Mohr's circle of inertia part 2 (2) Moment of inertia Ix for the Trapezium-second option (1) Part 1 of the Solved problem 5 for design shear strength (1) Part 2 of the Solved problem 5 for design shear strength (1) Permutation matrix. (2) Practice problem for the x and y coordinates of a trapezoid (1) Simple interest and compound interest (2) Solved problem-7-4-1 (1) Solved problem-8 by Modified Newton-Raphson. (1) Solved problem 5-2 for the plastic moment value for W10x60. (1) Solved problem 7-2 for frames 1-3 (1) 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 inertia for trapezium. (1) Two Practice problems for Ixy for trapezium (1) Uniform series of compound interest. (2) video-Use a vl strip to get Ix for right-angle case-2 (1) Video for Ix for a right-angle triangle (1) Video for Ixy for a right-angle triangle case 1. (1) Video for Ixy for a triangle (1) Video for practice problem-2 for the moment of inertia. (1) x bar for a right angle triangle (2) y bar for a right angle triangle by integration. (2)

© 2025 "Engineering Oasis" • Built with GeneratePress