Applications of Matrices in Engineering

8,183 views 14 slides Apr 24, 2021
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About This Presentation

How we can use or apply Matrices in our Engineering Fields for our useful outputs?
How matrices are used in scientific knowledge?


Slide Content

APPLIED MATHEMATICS Application Of Matrices In Engineering PRESENTED BY: ALI HASAN 2018-CRP-18 BILAL WAHID 2018-CD-CRP-02 PRESENTED TO: MAM SADIA MUMTAZ DEPARTMENT OF CITY AND REGIONAL PLANNING UNIVERSITY OF ENGINEERING AND TECHNOLOGY LAHORE

MATRIX Definition: A matrices is a two dimensional arrangement of numbers in row and columns enclosed by a pair of square brackets or can say matrices are noting or rectangular arrangement of numbers, expressions, symbols, which are arranged in columns and rows.

History of matrices Matrix is derived from Latin word “worm”. meaning “a place which produce something” Matrices originated from the system of simultaneous linear equations.

Uses of matrices : Matrices are used in: Solving physical related applications. Quantum mechanics Optics

3d images into 2d screens Ranking of web pages into google search. Geological uses such as in Seismic surveys. For Plotting Graphs. Uses of matrices( cont …) :

Uses in electrical field Used in Resistors Kirchhoff's law of voltage and current Electrical circuits Calculation of battery power outputs

Uses in robotics As a base elements in the robot movements. In programming of robots matrices are used.

Graph Theory The application of matrices is a finite graph is a basic motion of graph theory, linear combination of quantum statics also referred to as matrices mechanics and the fist model of quantum mechanics by Heisenberg in 1925.

Solving linear equations Using row reduction Cramer's rule Using the inverse matrix method

USES OF CODING AND DECODING: Steganography: To cover channels Hidden tent within web pages. Hidden files in plain sight. Null ciphers. Wireless internet connection as WAP (wireless application protocol)

2 . Cryptography 1. it is a science of information security. 2. word cryptography is derived from “Krypto’s” means hidden. 3. hide info in storage

In the encryption process First text is filled into matrices and then encoding is done. Matrices convert them into the numerical values. It is best used in credit card numbers, bank accounts, information security and secret messages.