Getting started 2D-Plots Matrix & Linear Equations

Lecture 4. Matlab Basics Getting started 2D-Plots Matrix & Linear Equations

Getting Started • Matlab program can be found at: apps.asu.edu.

Getting Started • Tutorials and demos can be found at http://www.mathworks.com/products/matlab/demos.html?show=demo • Getting Started with MATLAB (4 min 58 sec) • Working in The Development Environment (4 min 13 sec) • Writing a MATLAB Program (5 min 36 sec)

2D Plots • Tutorials and demos for 2D plots can be found at http://www.mathworks.com/products/matlab/demos.html?file=/products/demos/shipping/matlab/graf2d.html

Matrix and Linear Equations • Linear Equations (n-variables and m-equations) ….. • Matrix representation Ax=b

Matrix and Linear Equations Ax=b • Matrix representation: x=A-1b • Solution: • Matlab representation x=b/A

Matrix and Linear Equations • An example • Solve the problem with Matlab Step 1 >> A=[-2 1 3;1 1 0; 0 3 -1] Step 2 >> b=[0;1.5;0] Step 3 >> i=b/A

Matrix and Linear Equations • What if • Solve the problem with Matlab Step 1 >> A=[-2 1 3;1 1 0; 0 3 -1] Step 2 >> b=[0;1.5;0] Step 3 >> i=b/A Step 3 Multiply the results by is

Matrix and Linear Equations • What if the same BUT • Using the superposition principle!

Matrix and Linear Equations • Re-write the equation as and Solve one at a time and add the results according to

Getting started 2D-Plots Matrix & Linear Equations