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linear Algebra -Matrices

How do we use matrices to solve linear system equations?

9- How to Use a matrix for the quadratic polynomial function?

March 21, 2025May 21, 2022 by Maged kamel
Post-9-matrix-Three practice problems for interpolating polynomials.

How to Use a matrix for the quadratic function? Three solved problems are used to find the quadratic functions by using a matrix.

Categories linear Algebra -Matrices Tags Use a matrix for the quadratic polynomial function

8-Practice problem for reduced echelon form.

March 23, 2025May 19, 2022 by Maged kamel
Post-8-matrix-Practice problems for row reduced echelon form-(RREF).

Practice problem for reduced echelon form. How to determine whether the given matrix is in R echelon form or not? The second part is Application for traffic flow by matrix.

Categories linear Algebra -Matrices Tags Practice problem for reduced echelon

7b- Practice problems for Gauss Jordan elimination.

March 23, 2025April 22, 2022 by Maged kamel
Post-7b-matrix-Solved problems for gauss elimination or row reduced echelon form-(RREF).

Practice problems for Gauss Jordan elimination are introduced. Step by step guide for solving these problems.

Categories linear Algebra -Matrices Tags Practice problems for Gauss Jordan elimination.

7a- Practice problems for back substitution: Easy approach.

March 22, 2025April 22, 2022 by Maged kamel
post-7a-matrix-Practice problems for back substitution.

Practice problems for back substitution for matrices. Step by step illustration of the process of back substitution.

Categories linear Algebra -Matrices Tags Back substitution practice problems.

7- Easy introduction to row echelon form.

March 22, 2025April 9, 2022 by Maged kamel
Post 7-matrix-Row reduced echelon form and reduced row echelon form.

Introduction to row echelon form and reduced row echelon form and their components. what is gauss- Jordan’s elimination?

Categories linear Algebra -Matrices Tags Row echelon form

6- Introduction to types of linear systems-Two variables.

March 22, 2025February 26, 2022 by Maged kamel
The different types of Linear systems.

Introduction to types of linear systems-Two variables. what are the row operations? solved problems are included.

Categories linear Algebra -Matrices Tags types of linear systems.

5- Step by step guide to Transpose of a Matrix:(definitions-solved problems)

March 24, 2025January 29, 2022 by Maged kamel
Post-5-matrix-What is matrix transpose?

A step by step guide to the transpose of a matrix. A discussion of properties with solved problems included.

Categories linear Algebra -Matrices Tags definitions-solved problem, Transpose of a Matrix

4a- Solved problem for matrix operations.

March 22, 2025January 29, 2022 by Maged kamel
Post-4a-matrix-A Solved problem for matrix operation.

A discussion of the three properties Commutative, associative and distributive properties. The post also includes a solved problem for matrix operations.

Categories linear Algebra -Matrices Tags Solved problem for matrix operations, what is associative property, What is commutative property?

4- Easy Introduction to Matrix operations-part-2.

March 22, 2025January 8, 2021 by Maged kamel
Post-4-matrix-Matrix operations part 2-Powers of a matrix.

A discussion of matrix operations-part-2 The operations are powers of matrix & multiplication of 3×3 matrices. Review of the properties of matrix addition.

Categories linear Algebra -Matrices Tags Matrix operations part-2

3- Matrix Operations-Part-1: A Simple Guide to Basics.

March 24, 2025October 12, 2020 by Maged kamel
Post-3-matrix-Matrix operations part 1-orthogonal matrix.

The post includes matrix operations-part-1, Definition of the scalar matrix, and addition &subtraction, and multiplication of matrices.

Categories linear Algebra -Matrices Tags matrix operations part 1

2- Types of Matrices: An Easy Introduction to Their Forms.

March 24, 2025September 15, 2020 by Maged kamel
Post-2-matrix-the different types of matrices.

The post includes different types of matrices, the scalar matrix, identity matrix, symmetric matrix , skew symmetric matrix, Unit matrix. Triangular matrix with different forms.

Categories linear Algebra -Matrices Tags Types of matrices

1- Understanding the Definition of matrix, matrices properties.

March 24, 2025June 1, 2020 by Maged kamel
Post-1-matrix-Introduction to matrices.

Definition of matrix, introduction to matrices, how to construct a matrix from a set of equations? What is the augmented matrix?

Categories linear Algebra -Matrices Tags Definition of a matrix

Categories

Case 2 for block Shear-Coped Beam Problem (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 Tension members (2) LU-partial pivoting (2) Mohr's circle of inertia part 2 (2) Part 1 of the Solved problem 5 for design shear strength (1) Part 2 of solved problem 5 for design shear strength (1) Permutation matrix. (2) Practice problem 5-2-2 find y bar (1) Practice problem 5-2-3 verify Zx for W18x50 (1) Simple interest and compound interest (2) Solved problem 5-2 for the plastic moment value for W10x60. (1) Solved problem 7-2 for K value for frame-1-3 (1) Solved problem 8-32, finding the plastic nominal load (2) Solved problems for the net area. (2) x bar for a right angle triangle (2) y bar for a right angle triangle by integration. (2)

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