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MATRIX Group Members: 1.Md. Al-Shahreyar 151 -35-1080 2. Sajid Hossain 151-35-1091 3.Mahbubul Alam 151-35-1084 4. Takia Islam

Matrix in software engineering

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MATRIXGroup Members:

1.Md. Al-Shahreyar 151 -35-1080

2. Sajid Hossain 151-35-10913.Mahbubul Alam 151-35-1084 4. Takia Islam

HISTORY OF MATRIXThe history of goes back to accent times but the term the “Matrix” was not applied to the concept until 1850.Matrix is a latin word for wamb.

The origin of mathmetical mathrices lie with the system of simultaneous linear equations. An important Chinese (Chiu Chang Suan Shu) , text from between 300 BC and AD 200 gives the first linear example of use of matrix method to solve simultaneous linear equation.Since their fast appearance in ancint china.

The term "matrix" for such arrangements was introducedin 1850 by James Joseph Sylvester.

What Is matrix

Matrix are the rectangular arrangement of numbers, expressions, symbols which are arranged in columns and rows that kept inside braces () or [] subject to certain rules of operations. For Example: A=

A matrix is said to be having ‘m’ number of rows and ‘n’ number of columns.

Application of Matrix in Real Life

1. Real word data 2. Calculating3.Google search4. Geology5. Message codes6. Dimensional work7. Robotics and Automation8. Graphics

Matrix in Real word data

Used for common survey.

People’s population, habits, etc.

Matrix in calculating

Gross domestic products.Used in many organizations .

Matrix in google search

Stochastic matrix and Eigen vector solver in the page rank algorithms which are used in the ranking of page of google search.

Example of Stochastic matrix and Eigen vector

Stochastic matrix

Matrix in Geology

Used for taking seismic surveys.Used for plotting graphs.Used in statistics and scientific studies.

Matrix in Message codesUsed for a programmer for coding.

Encrypting a message is made as a sequence of numbers in a binary format for communication.

Those purpose done by inverse matrix.

Example of Inverse Matrix

Inverse Matrix =

Matrix in Robotics and Automation

Checking Robot movements.Controlling robot.

Matrix In GraphicsIn computer graphics, a full transpose of a

4x4 matrix can be done to save some GPU operations.

Example of transpose matrix

Transpose matrix=

Matrix In GraphicsIn computer graphics, a full transpose of a 4x4 matrix can be done to save some GPU operations. This is related to the physical register layout and the instructions needed to multiply matrices.