Matrix Algebra: Why, What and How Course

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matrix algebra

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This course teaches matrix algebra from beginner level to pro-level. Here we have tried to design this course in such a way that a proper understanding can be developed in students who learn it. The unique feature of this course is that it can make you curious to learn more and enable to use your knowledge for academic purposes as well as for understanding day to day problem where matrix algebra can be used to find solutions.

Matrix algebra is actually a different language which runs parallelly with other mathematical methods. The same mathematical problem you solve using different mathematical formulae becomes altogether a very simple and attractive when solved using rules of matrix algebra. We have also used Excel and R-software to solve problems. The aim was to update students with the current developments taking place in this field.

Main Features

  • Why do we study matrix and what is the meaning of matrix?
  • How mathematical operations are done using matrix algebra.
  • With very colorful boxes without leaving a single step, each concept of matrix algebra has been illustrated.
  • Answers to students questions are also given within a 4-days time.
  • If you want to become an instructor, you can join us.
  • Use of EXCEL and R Software is also taught in this course for matrix algebra.

What is the target audience?

  • From 10th standard onwards, every student can enroll for the course.
  • Teachers who teach it to various class can also enroll.

The course duration depends on the time devoted and learning speed of the student.

Starting Course

1
Why Matrices are studied
10 minutes

There are two foremost reasons why we study matrices:

(1) All real data comes in the form of a matrix whether or not you recognize that as a matrix.

(2) It becomes relatively easy to do mathematical writing when matrix notations are used.

2
Addition of two, three and N Matrices.
2 minutes

Addition and Subtraction of matrices are very simple and straight-forward. 

 

Addition of matrices: 

 

For adding two or more matrices we simply add the corresponding elements of both the matrices.


3
Subtraction of two, three and N Matrices.
10 minutes
Subtraction of matrices:

Subtraction of matrices is also very simple and straight-forward. 
For subtracting one matrix from another matrix, we have to simply subtract the corresponding elements of the two or more matrices 


4
The Rules of Matrix Multiplication
10 minutes

The Rules of Matrix Multiplication: Multiplying two or more matrices.


5
Matrix Multiplication: Multiplying two or more matrices-example
10 minutes

Matrix Multiplication: Multiplying two or more matrices-example

6
Calculating Covariance and Properties of Covariance
10 minutes

Covariance or Covariance Matrix Calculations

Step-1: Firstly, we have to calculate the mean of each column, i.e, X1, X2, and X3.

 The formula for calculating mean:


7
Calculating Matrix’ mean, variance and standard deviation
5 minutes

Calculating Matrix' mean, variance and standard deviation.

To calculate the mean of a matrix having mxn dimension, calculate the mean of each column because each column is a different variable; then, use these means to find out variances and S.Ds of each variable or column respectively.


8
Matrix Determinant Intro
5 minutes

Matrix Determinant

 

We can calculate the determinant of a matrix only when it is a square matrix.

 

 If it is not a square matrix or it is a rectangular matrix (rows ≠ columns), then we make it a pseudo square matrix.

9
Calculating Determinant of a 2 x 2 Matrix
5 minutes

Calculating the Determinant of a 2x2 matrix:

 

To calculate the determinant of a matrix having 2 rows and 2 columns, we should differentiate the elements of the matrix into diagonal and off-diagonal elements.

10
Calculating the Determinant of a 3 x 3 Matrix

Quizzes Coming soon!

1
Quiz: Mobile / Native Apps
18 questions
2
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Faq Content 1
Faq Content 2

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Enrolled: 34 students
Duration: 10 hours
Lectures: 11
Video: 9 hours
Level: Advanced

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