sonya-mcpherson
Uploaded by
19 SLIDES
342 VUES
200LIKES

Comprehensive Guide to Matrix Manipulation and Plotting in MATLAB

DESCRIPTION

This guide covers essential MATLAB functions for matrix manipulation and plotting, perfect for applied mathematics enthusiasts. Learn to create and manipulate matrices with functions such as `eye`, `ones`, `zeros`, `rand`, and `diag`. Explore advanced operations like matrix multiplication, reshaping, and replication, alongside vector creation techniques. Additionally, gain insights into plotting data points and functions using various plotting techniques, including `plot` and `subplot`. This resource is ideal for students and practitioners of numerical methods in applied mathematics.

1 / 19

Télécharger la présentation

Comprehensive Guide to Matrix Manipulation and Plotting in MATLAB

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. MATLAB Programming • Matrix Manipulation • Plotting 數值方法2008, Applied Mathematics NDHU

  2. Matrix generation eye ones zeros diag rand repmat reshape Vector generation linspace equi-spacing Matrix creation 數值方法2008, Applied Mathematics NDHU

  3. Exercise • matrix creation 數值方法2008, Applied Mathematics NDHU

  4. rand • rand(m,n) • Create a matrix composed of m rows and n columns. All of its elements are uniformly sampled from [0 1] 數值方法2008, Applied Mathematics NDHU

  5. Matrix size • A=rand(m,n) • size(A) • Return row and column numbers of matrix A 數值方法2008, Applied Mathematics NDHU

  6. eye(n), ones(n), zeros(n) • eye(n) • Create an nxn identical matrix • ones(n) • Create an nxn matrix with all elements identical to one • zeros(n) • Create an nxn zero matrix 數值方法2008, Applied Mathematics NDHU

  7. Diagonal matrix • v=[1 2 3 4 5] • diag(v) • Create an diagonal matrix whose diagonal vector is identical to v 數值方法2008, Applied Mathematics NDHU

  8. Matrix multiplication • Validity • A*B is valid if the column number of A is identical to the row number of B • ones(5,1)*[1 2 3 4 5] • Form a 5x5 matrix. • Each of its five rows equals [1 2 3 4 5] 數值方法2008, Applied Mathematics NDHU

  9. Matrix replication • v=[1 2 3 4 5] • repmat(v,n,m) • Repeat v n times vertically • Repeat the result m times horizontally • repmat(v,5,1) 數值方法2008, Applied Mathematics NDHU

  10. Reshape A=rand(m,n) B=reshape(A,p,q) • Validity: mxn needs identical to pxq • B is a pxq matrix • Column major reshaping of a matrix 數值方法2008, Applied Mathematics NDHU

  11. Column major A=[1 2 3;4 5 6]; B=reshape(A,3,2) 1 5 4 3 2 6 數值方法2008, Applied Mathematics NDHU

  12. Column major B=reshape(A,3,2) 數值方法2008, Applied Mathematics NDHU

  13. Column major • A=[1 2 3;4 5 6;7 8 9;10 11 12] • B=reshape(A,3,4) 數值方法2008, Applied Mathematics NDHU

  14. Vector creation • Direct input • a=[1 2 3 4 5 6 7 8 9 10] • Spacing • a=1:10 • a=1:1:10 • a=1:2:100 • A=100:-5:1 數值方法2008, Applied Mathematics NDHU

  15. Linspace • v=linspace(a,b,n) • v is a vector which consists of n elements • These elements equally partition the interval [a b] 數值方法2008, Applied Mathematics NDHU

  16. Plot • Plot points plot(x,y,’.’) • x and y have same length, such as n • This instruction draws n points, denoted by {(xi yi)}i • xi denotes the ith element of vector x • yi denotes the ith element of vector x 數值方法2008, Applied Mathematics NDHU

  17. Plot points and lines • plot(x,y) • n points and lines connecting two consecutive points 數值方法2008, Applied Mathematics NDHU

  18. Plot a function x=linspace(-5,5,100); y=cos(x); plot(x,y) • The output contains a set of points specified by vectors x and y • Two consecutive points are connected 數值方法2008, Applied Mathematics NDHU

  19. subplot x=linspace(-5,5,100); subplot(2,1,1) plot(x,cos(x)) subplot(2,1,2) plot(x,sin(x)) 數值方法2008, Applied Mathematics NDHU

More Related