1. The document discusses matrices and their uses. It provides examples of matrices and defines them as rectangular arrangements of numbers, expressions, or symbols arranged in rows and columns. 2. Matrices have various real-world applications including surveys, population data, gross domestic products, robotics, graphics, message encoding, and dimensional works. They are used in tools like Google search algorithms and seismic mapping. 3. The history of matrices dates back to ancient times but the term was introduced in 1850. An important ancient Chinese text from 300 BC to 200 AD provides the first example of using matrices to solve simultaneous linear equations.

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

2. The 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.

3. 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.

4. 1. Real word data
2. Calculating
3.Google search
4. Geology
5. Message codes
6. Dimensional work
7. Robotics and Automation
8. Graphics

5. Matrix in Real word data
 Used for common survey.
People’s population, habits, etc.

6. Gross domestic products.
Used in many organizations .

7. 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.

8. Example of Stochastic matrix and Eigen vector
Stochastic matrix

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

10. Matrix in Message codes
Used 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.

11. Example of Inverse Matrix
Inverse Matrix =

12. Checking Robot movements.
Controlling robot.

13. Matrix In Graphics
In computer graphics, a full transpose of a 4x4 matrix
can be done to save some GPU operations.

14. Transpose matrix=

15. In 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.