4x4 Matrix Application.pptxerstdghestdgf

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1. Addition & Subtraction of 4x4 Matrix For Three Square Matrices Prepared by: Huner Ismail - Banaz Ismail Asuda Bikhtiyar - Barez Luqman - Momen Hassan Eman Mofaq - Lara Kosrat Lecturers: Mr. Bayad A. Ahmed Mr. Jamy Kh. Ahmed Technical Engineering College Civil Engineering Department Mathematics-2 MAT302 2022-2023 3 rd Semester

2. Content: Introduction About Matrix Matrix Addition And Subtraction Example Application Conclusion References 2

3. Introduction: Matrix operations are fundamental basis for a lot of scientific, engineering and mathematics. Addition and subtraction of matrices construction a key subject in the list of operations. In particular, 4x4 matrices application. 3

4. About Matrix: A matrix is a rectangular arrangement of numbers in rows and columns. Rows run horizontally and columns run vertically. The dimensions of a matrix are stated "m x n" where 'm' is the number of rows and 'n' is the number of columns. 4

5. Matrix Addition And Subtraction: Only matrices with the same dimensions can be added or subtracted. The resulting matrix has the same dimension of the two matrices being added or subtracted. 5

6. Example -1- We can find A+B+C by Addition the corresponding entireties In Matrices A,B and C that shown below [A]= [B]= [C]= [A]+[B]+[C]=[D], [D]=?   6

7. [A]+[B]+[C]= [A]+[B]+[C]=   [D]=   7

8. Example-2- [A]= [B]= [C]= [A]-[B]-[C]=[D], [D]=?   8

9. [A]-[B]-[C]=   [A]-[B]-[C]=   [D]=   9

10. Examples-3- [A]= [B]= [C]= [A]+[B]-[C]=[D], [D]=?   10

11. [A]+[B]-[C]= [A]+[B]-[C]= [D]=   11

12. Examples-4- [A]= [B]= [C]= [A]-[B]+[C]=[D], [D]=?   12

13. [A]-[B]+[C]= [A]-[B]+[C]=   [D]=   13

14. Applications: Matrices are every where. The applications of matrix are: 1. Linear Equation 2. Transformation 3.computer graphic 4. Statistics and Data Analysis 14

15. Applications: 5. Markov Chain 6. Eigenvalues and Eigenvectors 7. Network Theory 8. Finance 15

16. Conclusion: We now understand more about how matrices function, specifically how matrix 4 by 4 addition and subtraction work. To demonstrate the procedures, we highlighted the steps by provided examples. In addition to algebra, matrices can be used in a variety of fields. For example, they can be used to fine-tune mechanical and electrical engineering, as well as computer tasks like coding and game production. 16

17. References: https://www.superprof.co.uk/resources/academic/maths/linear-algebra/determinants/4x4-determinant.html https://www.math10.com/en/algebra/matrices/determinant.html https://study.com/skill/learn/how-to-add-subtract-matrices https://www.careers360.com/premium/real-world-applications-of-matrices-in-banking-and-finance#:~:text=In%20the%20world%20of%20finance,assets%2C%20risks%2C%20and%20opportunities https://study.com/skill/learn/how-to-add-subtract-matrices-explanation.html#:~:text=Step%201%3A%20Find%20the%20dimensions,corresponding%20entries%20of%20each%20matrix 17