# linear Algebra -Matrices

How do we use matrices to solve linear system equations?

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

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

## 8-Practice problem for reduced echelon form.

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.

## 7b- Practice problems for Gauss Jordan elimination.

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

## 7a- Practice problems for back substitution.

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

## 7- Easy introduction to row echelon form.

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

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

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

## 5-Transpose of a Matrix (definitions-solved problems).

Transpose of a Matrix (definitions-solved problems). Introduction to matrix transpose. The next item contains the properties of the transpose of a matrix, the transpose lets us make rows as columns, and vice versa. the transpose of a matrix with a dimension of (mxn), will give another matrix A T with the dimension of (nxm). The

## 4a- Solved problem for matrix operations.

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

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

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.

## 3- Easy Introduction to Matrix operations-part-1.

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

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