The first use of Linear Algebra can be seen in the polygonal structure of 3D characters and space in computer games and other 3D graphics applications. Polygons are used to make images look three-dimensional because of their geometric structures. Most of the time, this is done by dividing the object into smaller and smaller polygons where the given smaller parts are triangular. This makes the production of 3D objects part of the distribution process of polygons. A simple example of the use of polygons in 3D images in the form of object frame.
Category: Linear Algebra
What are the uses of Eigen Values and Eigen Vectors?
Study of Linear Transformation and its Application
This paper is prompting a superior agreement and information about straight change.
Linear transformation obtain inverse (only in the case) if it’s bijective (one-one and onto).
We’ve seen that linear transformations are frequently denoted by matrices. And we’ve number of methods for determining if a matrix is invertible.
What is the application of linear algebra in cryptography?
Application of linear algebra in cryptography What is the application of linear algebra in cryptography? Application of linear algebra in cryptography. Linear algebra is widely used in many engineering applications. The most common examples are: network solving, chemical equation balancing, Read More …
what are the row spaces, column spaces and null spaces in Linear Algebra?
Introduction to row spaces, columns spaces and null spaces For any given matrix ‘A’ of order mxn, there are three types of spaces associated to them: row(A), col (A), and null (A). These spaces are linked with the solution of Read More …
How to diagonalize a matrix? Example of diagonalization
Diagonalization of a matrix How to diagonalize a matrix? Example of diagonalization. An nxn matrix A is said to be diagonalizable if there exists an invertible matrix P such that A=PDP–. Procedure for diagonalizing a matrix For diagonalizing a matrix Read More …
What are the Block Matrices?
Introduction to Block Matrices What are the Block Matrices? In matrix multiplication, whenever the order is high and we have some repeated entries in the matrix we prefer to use the concept of block matrices multiplication. In this approach a Read More …
What are the matrices and their types ?
Why do we use linear algebra? What are the matrices and their types ? Linear Algebra is the branch of mathematics in which we study about the all the physical systems that can be modeled as linear systems. Linear algebra Read More …
How to perform similar matrices transformation?
Introduction to similar matrix and similar matrix transformation How to perform similar matrices transformation? Two square matrices A and B of the same order nxn are said to be similar if there exists an invertible matrix P such that B=P-1AP. Read More …
what is the vector space in linear algebra? vector space example
Introduction to Vector Space 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 to V, Read More …