%matlab5>> 2+3 ans = 5 >> a = [ 1 2 3; 4 5 6; 7 8 9 ] a = 1 2 3 4 5 6 7 8 9 >> a*a ans = 30 36 42 66 81 96 102 126 150 >> exit 55 flops. %

In this example we start Matlab by typing **matlab5**
(in WVU ISIS super computer). In your computer, the start command
may be different one, like **matlab**.
Then you do what you want. Finally use exit or quit to leave
Matlab.

To solve the following equations: x + 2y = 5 2x + 6y = 14 >> a=[1 2; 2 6] a = 1 2 2 6 >> b=[5; 14] b = 5 14 >> x=a\b x = 1.0000 2.0000 >> exit

>> t=0:pi/20:2*pi; >> plot(sin(t), cos(t)) >> axis square

Here is the result:

>> x=linspace(1,5); >> y=1-exp(-x).*sin(2*pi*x); >> plot(x,y)

Here is the result:

>> t=0:pi/50:2*pi; >> y1=sin(t); >> y2=cos(t); >> y3=sin(t-0.25); >> y4=cos(t-0.25); >> plot(t,y1,t,y2,t,y3,t,y4)

Here is the result:

>> x=[.19 .22 .41 .18]; >> pie(x) >> explode = zeros(size(x)); >> h = pie(x, explode); >> textObjs = findobj(h, 'Type', 'text'); >> oldStr = get(textObjs, {'String'}); >> val = get(textObjs, {'Extent'}); >> oldExt = cat(1, val{:}); >> Names = {'P1: '; 'P2: '; 'P3: '; 'P4: '}; >> newStr = strcat(Names, oldStr); >> set (textObjs, {'String'}, newStr)

Here is the result:

>> t=0:pi/50:15*pi; >> plot3(sin(t), cos(t), t); >> text(0,0,0, 'Origin'); >> grid;

Here is the result:

>> [x,y] = meshgrid(-2:.1:2, -2:.1:2); >> z = x .* exp(-x.^2 - y.^2); >> mesh(z)

Here is the result:

>> g = 0:0.2:10; >> [x,y] = meshgrid(g); >> z = 2*sin(sqrt(x.^2 + y.^2)); >> mesh(z);

Here is the result:

To get general help message, type "help". To get help message of a special topic, type "help special_topic". >> help HELP topics: matlab/general - General purpose commands. matlab/ops - Operators and special characters. matlab/lang - Programming language constructs. matlab/elmat - Elementary matrices and matrix manipulation. matlab/elfun - Elementary math functions. matlab/specfun - Specialized math functions. matlab/matfun - Matrix functions - numerical linear algebra. matlab/datafun - Data analysis and Fourier transforms. matlab/polyfun - Interpolation and polynomials. matlab/funfun - Function functions and ODE solvers. matlab/sparfun - Sparse matrices. matlab/graph2d - Two dimensional graphs. matlab/graph3d - Three dimensional graphs. matlab/specgraph - Specialized graphs. matlab/graphics - Handle Graphics. matlab/uitools - Graphical user interface tools. matlab/strfun - Character strings. matlab/iofun - File input/output. matlab/timefun - Time and dates. matlab/datatypes - Data types and structures. matlab/demos - Examples and demonstrations. fuzzy/fuzzy - Fuzzy Logic Toolbox. fuzzy/fuzdemos - Fuzzy Logic Toolbox Demos. toolbox/ident - System Identification Toolbox. images/images - Image Processing Toolbox. images/imdemos - Image Processing Toolbox --- demos and sample images toolbox/local - Preferences. toolbox/signal - Signal Processing Toolbox. toolbox/tour - MATLAB Tour wavelet/wavelet - Wavelet Toolbox. wavelet/wavedemo - Wavelet Toolbox Demos. For more help on directory/topic, type "help topic". >> help matfun Matrix functions - numerical linear algebra. Matrix analysis. norm - Matrix or vector norm. normest - Estimate the matrix 2-norm. rank - Matrix rank. det - Determinant. trace - Sum of diagonal elements. null - Null space. orth - Orthogonalization. rref - Reduced row echelon form. subspace - Angle between two subspaces. Linear equations. \ and / - Linear equation solution; use "help slash". inv - Matrix inverse. cond - Condition number with respect to inversion. condest - 1-norm condition number estimate. chol - Cholesky factorization. cholinc - Incomplete Cholesky factorization. lu - LU factorization. luinc - Incomplete LU factorization. qr - Orthogonal-triangular decomposition. nnls - Non-negative least-squares. pinv - Pseudoinverse. lscov - Least squares with known covariance. Eigenvalues and singular values. eig - Eigenvalues and eigenvectors. svd - Singular value decomposition. gsvd - Generalized ingular value decomposition. eigs - A few eigenvalues. svds - A few singular values. poly - Characteristic polynomial. polyeig - Polynomial eigenvalue problem. condeig - Condition number with respect to eigenvalues. hess - Hessenberg form. qz - QZ factorization for generalized eigenvalues. schur - Schur decomposition. Matrix functions. expm - Matrix exponential. logm - Matrix logarithm. sqrtm - Matrix square root. funm - Evaluate general matrix function. Factorization utilities qrdelete - Delete column from QR factorization. qrinsert - Insert column in QR factorization. rsf2csf - Real block diagonal form to complex diagonal form. cdf2rdf - Complex diagonal form to real block diagonal form. balance - Diagonal scaling to improve eigenvalue accuracy. planerot - Given's plane rotation. cholupdate - rank 1 update to Cholesky factorization. qrupdate - rank 1 update to QR factorization.