Introduction Two matrices, say A and B, are called similar if there exists an invertible matrix P such that: B=P−1AP This means that B is essentially a transformed version of A. But here’s the cool part: even though A and B might look different, they share something very special—their eigenvalues!” Eigenvalues are those Read More …
Category: Linear Algebra
How to find the basis of a vector space V?
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 …
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 …
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 Singular Value Decomposition (SVD) is a fundamental technique in linear algebra with applications in various fields such as signal processing, statistics, machine learning, and data analysis. It is a method to decompose a matrix into three Read More …
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 …
Use of MATLAB Software for Linear Algebra
Introduction Use of MATLAB Software for Linear Algebra. With a focus on complex arithmetic problem and the unambiguous concept of line algebra, this paper discusses the introduction of MATLAB software in algebra teaching and describes the practical steps and results Read More …