MATLAB Assignment
2019-2020
Finding Eigen Values and Eigen Vectors of a Matrix
Prepared By:
Rifat Ibrahim (2019A7PS0069U)
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
MATLAB Assignment on Eigen Values, Assignments of Mathematics for Computing
How to use MATLAB to Calculate Eigen Values
Typology: Assignments
2019/2020
1 / 9
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download MATLAB Assignment on Eigen Values and more Assignments Mathematics for Computing in PDF only on Docsity!
MATLAB Assignment
Finding Eigen Values and Eigen Vectors of a Matrix
Prepared By:
Rifat Ibrahim (2019A7PS0069U)
Acknowledgement
I express my sincere and heartfelt gratitude to Dr. K.K Kumar, for giving
me an opportunity to learn about MATLAB and its capabilities. His
constant effort was truly reflected in the learning opportunities that
were presented to me.
This assignment truly helped me in learning new ways to solve a given
problem in Eigen values and Eigen vectors. I was able to solve the
question quickly and efficiently.
Theory
MATLAB:
MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and proprietary programming language developed by Math Works. MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages, including C, C++, C#, Java, Fortran and Python. MATLAB integrates computation, visualization, and programming in an easy to-use environment where problems and solutions are expressed in familiar mathematical notation. Typical uses include:
- Algorithm development
- Modeling, simulation, and prototyping
- Data analysis, exploration, and visualization
- Scientific and engineering graphics
- Application development, including Graphical User Interface building
Eigen values & Eigen Vectors:
A Scalar λ is called an Eigenvalue of the N x N Matrix A is there is a Nontrivial Solution Such an X is called an Eigenvector corresponding to the Eigenvalue λ. Geometrically, an Eigenvector, corresponding to a real nonzero Eigenvalue, points in a direction that is stretched by the transformation and the Eigenvalue is the factor by which it is stretched. If the Eigenvalue is negative, the direction is reversed.
Procedural Coding
Q.) Find the Eigen Values and Eigen Vectors of the given Matrices:
a) A = 8 8 2 4 3 2 3 4 1
Solution:
Step 1: Making the matrix and naming it. Step 2: Finding the Eigen values using the function eig(). Step 3: Finding the Eigen Vectors:
b) A =
Solution:
Step 1: Making the matrix and naming it. Step 2: Finding the Eigen values using the function eig(). Step 3: Finding the Eigen Vectors:
Step 4: Separating the Vectors and Normalizing them:
Answer: Eigen Values: (0.58579,2.00000,3.41421) Corresponding Eigen Vectors: [(1, 1 .4 1421 , 1 ), (1, 4.415 * 10-^16 , - 1 ), (1, 1.4142, 1 )]