Inverse of Matrix
- 1. Leonard Howard IBM111 - Inverse of Matrix ID# 00027 IBM111 – INVERSE OG MATRIX
- 2. Unit Learning Outcome 3 Perform Operation on matrices. Matrix Inverse of Matrix IBM111 - Inverse of Matrix
- 3. a.What is a matrix? a. A matrix is a rectangular grid of numbers arranged into rows and columns. IBM111 - Inverse of Matrix
- 4. a. Inverse of a matrix? What is an inverse matrix? • The Inverse of a matrix is always a matrix. • The inverse of the matrix follows the same order of its original matrix. • The invers of a matrix is always true for a square matrix • The Inverse of a matrix exist if the determinant of said matrix is not equal to zero • The inverse of matrix is just the opposite of the original matrix. IBM111 - Inverse of Matrix
- 5. b. Graphical representation of application. • Creating secret message using numbers with inverse matrix. (encoding and decoding messages). IBM111 - Inverse of Matrix
- 6. Why is it important? RealWorld Application of the topic. • Creating secret message using numbers with inverse matrix. (encoding and decoding messages). • Computer graphics in the 3D space use matrices to render what we see on the screen. IBM111 - Inverse of Matrix
- 7. Encoding and decoding message a. For instance SELL NOW is the encoded message. • Numbers representing the encoded message 19, 5, 12, 12, 0, 14, 15, 23 • Above is less effective, lets twist to make it a bit complicated 19 12 0 15 5 12 14 23 IBM111 - Inverse of Matrix
- 8. • Now we multiply the encoded matrix with the original matrix. 82 96 70 160 29 36 28 61 Original • Multiply with a 2x2 matrices by picking random numbers. Pick, 3, 1, 5 and 2, and they’re also known as the coding matrix. A B 3 5 1 2 x 19 12 0 15 5 12 14 23 2 −5 −1 3 82 96 70 160 29 36 28 61 • Multiply matrix C with matrix D to find the original message matrix. IBM111 - Inverse of Matrix
- 9. • Substitute the values with letters respectively • SELL NOW is the encrypted message. 19 12 0 15 5 12 14 23 19 5 12 12 0 14 15 23 S E L L - N O W IBM111 - Inverse of Matrix
- 10. An example of the type of work done in theTopic? a. Give a mathematical walk through of the concepts learnt in thisTopic. • Defining what inverse of matrix is. • Why inverse matrix are important. • Recap on operations used in matrix. • Inverse of a matrix notation. • Inverse of a 1x1, 2x2 and a 3x3 matrix. IBM111 - Inverse of Matrix
- 11. New knowledge was gained My experience learning theTopic and the effect it will have on my studies here in WPU : • NewTopic to me. • Benefit me not only in this institution but after here. • For instance the idea of encoding and decoding messages. IBM111 - Inverse of Matrix
- 12. References Angle, D. (2002, December ).Why is an equation important? Retrieved from Delvin: https://www.maa.org/external_archive/devlin/devlin_12_0 2.html Marsh, J. (2014, August 27). Why Equations Are Importance in Our Life. Retrieved from Medium.Com: https://medium.com/@john_marsh7/why-equations-are- important-in-our-life-6eeddf8ec015 Seymour, L., & Marc, L. (2004). Linear Algebra (Third ed.). © The McGraw−Hill. UKEssays. (2018, November ). Application of Matrices in Real- Life. Retrieved from UKEssays: https://www.ukessays.com/essays/mathematics/applicatio n-of-matrices-in-real-life-problems.php IBM111 - Inverse of Matrix
- 13. Questions 1. _______________________________ 2._______________________________ 3._______________________________ IBM111 - Inverse of Matrix THANKSANDTHAT’STHE END