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Introduction to Matrix calculator This is an online tool that helps students for performing the arithmetic operations (addition, subtraction, and multiplication) online. It is simple and easy to use. You just need to select the order of matrices. In Matrix Read More …
Vector Space Definition in Linear Algebra what is the vector space in linear algebra? The collection of vectors (V1,V2,V3,…..) are said to form a vector space (V) if the following properties are satisfied For any two vectors u,v that belongs Read More …
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 …
Introduction In mathematics, particularly in linear algebra and functional analysis, the concepts of inner product and inner product space play a crucial role in generalizing geometric ideas like length, angle, and orthogonality to more abstract settings. These concepts are foundational in fields such as Read More …
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 …
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 …
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 …
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
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 …
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 …