How to find the basis of a vector space? How to find the basis of a vector space V? In order to find the basis of a vector space , we need to check two properties: The vectors should be Read More …

# Category: Linear Algebra

## Complete List of Linear Algebra Video Lectures 2024

Here is the Complete List of Linear Algebra Course: Lesson 1: Matrix Basic Operation Lesson 2: Properties of determinant with example https://www.youtube.com/watch?v=Xl1FV6EVIQE&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=40&pp=gAQBiAQB Lesson 3: Nodal Incident matrices for networks Lesson 4: Solving system of linear equations using Gauss Elimination https://www.youtube.com/watch?v=Q_NHw_RZsZs&list=PLacdleb4rX6-ROG5FT-ijn74jRtrszIU4&index=7&pp=gAQBiAQB Read More …

## What is the Gram Schmidt Procedure? Explanation and Example

Since, by applying head to tail rule on the vectors components, we can generate the original vector A. After that we need to find the projections of one vector to another vector. This projection is subtracted from the other vector and hence these two vectors become orthogonal.

So, for two vectors A and B lets say we want to generate a new set of vectors W and Y that will be orthogonal to each other. We will assume

## What are the Properties of Determinant?

Properties of Determinant In this article, I have discussed some of the properties of determinant. Determinants are mathematical objects that are associated with square matrices. They have several properties that make them useful in various mathematical applications. Here are some Read More …

## How to test that the Given Vectors are Linearly Independent or Dependent?

Linearly Independent Vectors: How to test the given vectors are linearly independent or not? The vectors v1,v2,v3,…vn in a vector space V are said to be linearly dependent if there exist constants c1,c2,c3,….cn not all zero such that: c1v1+c2v2+c3v3+……+cnvn=0 ————————-(i) Read More …

## What is Linear combinations, Linear dependence and Linear Independence?

In this article you will get the idea of What is Linear combinations, Linear dependence and Linear Independence? Linear algebra is important for the turn of the mathematical branch. It is one of the main branches of math that can Read More …

## What are the shortcuts for finding the determinant of a matrix?

Introduction In this article, I will discuss the shortcuts for finding the determinant of a matrix. Determinant has great significance in linear algebra. There are many practical problems that can be modeled as a linear system. When the systems are Read More …

## Singular Value Decomposition with Eigen Value Equal to 0

Singular Value Decomposition Example

## Implementation of SVD ins Machine Learning

What is Singular Value Decomposition? In this article we have discussed about Implementation of SVD ins Machine Learning. SVD, singular value decomposition is one of the methods of dimension reduction. In the field of machine learning, dimension reduction has become Read More …

## How to solve system of linear equations in Linear Algebra?

Introduction to Linear system of equations How to solve system of linear equations in Linear Algebra? A linear equation in n variables x1,x2,x3,…..xn is an equation that can be written in the form of where b and coefficients are real Read More …