2+3*4 ans = 14 2*3^4 ans = 162 2/3/4 ans = 0.1667 (2/3)/4 ans = 0.1667 2/(3/4) ans = 2.6667 2e5 ans = 200000 pi ans = 3.1416 format long pi ans = 3.14159265358979 format pi ans = 3.1416 i ans = 0 + 1.0000i j ans = 0 + 1.0000i p2=pi^2 p2 = 9.8696 p3=1/p2 p3 = 0.1013 P3 ??? Undefined function or variable 'P3'. 1/0 Warning: Divide by zero. ans = Inf 0/0 Warning: Divide by zero. ans = NaN Inf+2 ans = Inf exp(2) ans = 7.3891 e=exp(1) e = 2.7183 sin(3) ans = 0.1411 cosd(90) ans = 0 asin(.5) ans = 0.5236 log(2) ans = 0.6931 log10(2) ans = 0.3010 sqrt(5) ans = 2.2361 6! ??? 6! | Error: Unexpected MATLAB operator. factorial(6) ans = 720 erf(2) ans = 0.9953 besselj(0,4) ans = -0.3971 i^2 ans = -1 sqrt(-4) ans = 0 + 2.0000i log(-1) ans = 0 + 3.1416i exp(i*pi) ans = -1.0000 + 0.0000i i^i ans = 0.2079 cos(4+3*i) ans = -6.5807 + 7.5816i A=[1 2 ;3 4] A = 1 2 3 4 A=[1 2 3 4] A = 1 2 3 4 B=[2 0;-1 5] B = 2 0 -1 5 2*A+3*B ans = 8 4 3 23 A*B ans = 0 10 2 20 A^2 ans = 7 10 15 22 C=[1 2 1;3 2 4] C = 1 2 1 3 2 4 A*C ans = 7 6 9 15 14 19 C*A ??? Error using ==> mtimes Inner matrix dimensions must agree. C(1,2) ans = 2 C(1,2)=7 C = 1 7 1 3 2 4 C(1:2,2:3) ans = 7 1 2 4 C(1,:) ans = 1 7 1 D=[A C] D = 1 2 1 7 1 3 4 3 2 4 D=[A;B] D = 1 2 3 4 2 0 -1 5 D=[A;C] ??? Error using ==> vertcat All rows in the bracketed expression must have the same number of columns. C*D(1:3,:) ans = 24 30 17 14 b=[3;5] b = 3 5 x=A\b x = -1 2 A*x ans = 3 5 A/b ??? Error using ==> mrdivide Matrix dimensions must agree. inv(A) ans = -2.0000 1.0000 1.5000 -0.5000 x=inv(A)*b x = -1.0000 2.0000 det(A) ans = -2 eye(10) ans = 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 zeros(4,5) ans = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 x=linspace(1,4); x=linspace(1,4,301); x=x'; x=linspace(1,4,301); x=x(:); y=exp(-x); plot(x,y) dx=.1 dx = 0.1000 x=1:dx:4; x=x(:); y=exp(-x).*sin(3*x); plot(x,y) shg z=cos(5*x)-2; plot(x,y,x,z);shg axis([1 4 -4 2]);shg plot(x,y,'m--');shg plot(x,y,'m--+');shg help plot PLOT Linear plot. PLOT(X,Y) plots vector Y versus vector X. If X or Y is a matrix, then the vector is plotted versus the rows or columns of the matrix, whichever line up. If X is a scalar and Y is a vector, length(Y) disconnected points are plotted. PLOT(Y) plots the columns of Y versus their index. If Y is complex, PLOT(Y) is equivalent to PLOT(real(Y),imag(Y)). In all other uses of PLOT, the imaginary part is ignored. Various line types, plot symbols and colors may be obtained with PLOT(X,Y,S) where S is a character string made from one element from any or all the following 3 columns: b blue . point - solid g green o circle : dotted r red x x-mark -. dashdot c cyan + plus -- dashed m magenta * star (none) no line y yellow s square k black d diamond v triangle (down) ^ triangle (up) < triangle (left) > triangle (right) p pentagram h hexagram For example, PLOT(X,Y,'c+:') plots a cyan dotted line with a plus at each data point; PLOT(X,Y,'bd') plots blue diamond at each data point but does not draw any line. PLOT(X1,Y1,S1,X2,Y2,S2,X3,Y3,S3,...) combines the plots defined by the (X,Y,S) triples, where the X's and Y's are vectors or matrices and the S's are strings. For example, PLOT(X,Y,'y-',X,Y,'go') plots the data twice, with a solid yellow line interpolating green circles at the data points. The PLOT command, if no color is specified, makes automatic use of the colors specified by the axes ColorOrder property. The default ColorOrder is listed in the table above for color systems where the default is blue for one line, and for multiple lines, to cycle through the first six colors in the table. For monochrome systems, PLOT cycles over the axes LineStyleOrder property. If you do not specify a marker type, PLOT uses no marker. If you do not specify a line style, PLOT uses a solid line. PLOT(AX,...) plots into the axes with handle AX. PLOT returns a column vector of handles to lineseries objects, one handle per plotted line. The X,Y pairs, or X,Y,S triples, can be followed by parameter/value pairs to specify additional properties of the lines. For example, PLOT(X,Y,'LineWidth',2,'Color',[.6 0 0]) will create a plot with a dark red line width of 2 points. Backwards compatibility PLOT('v6',...) creates line objects instead of lineseries objects for compatibility with MATLAB 6.5 and earlier. See also plottools, semilogx, semilogy, loglog, plotyy, plot3, grid, title, xlabel, ylabel, axis, axes, hold, legend, subplot, scatter. Reference page in Help browser doc plot help linspace LINSPACE Linearly spaced vector. LINSPACE(X1, X2) generates a row vector of 100 linearly equally spaced points between X1 and X2. LINSPACE(X1, X2, N) generates N points between X1 and X2. For N < 2, LINSPACE returns X2. Class support for inputs X1,X2: float: double, single See also logspace, :.. Reference page in Help browser doc linspace doc linspace helpdesk help eigenvalue eigenvalue.m not found. Use the Help browser Search tab to search the documentation, or type "help help" for help command options, such as help for methods. lookfor eigenvalue ROSSER Classic symmetric eigenvalue test problem. WILKINSON Wilkinson's eigenvalue test matrix. BALANCE Diagonal scaling to improve eigenvalue accuracy. CONDEIG Condition number with respect to eigenvalues. EIG Eigenvalues and eigenvectors. ORDEIG Eigenvalues of quasitriangular matrices. ORDQZ Reorder eigenvalues in QZ factorization. ORDSCHUR Reorder eigenvalues in Schur factorization. POLYEIG Polynomial eigenvalue problem. QZ QZ factorization for generalized eigenvalues. EIGS Find a few eigenvalues and eigenvectors of a matrix using ARPACK EIGMOVIE Symmetric eigenvalue movie. EIGSHOW Graphical demonstration of eigenvalues and singular values. EXPMDEMO3 Matrix exponential via eigenvalues and eigenvectors. MAT4BVP Find the fourth eigenvalue of the Mathieu's equation. EIG Symbolic eigenvalues and eigenvectors. HANOWA Matrix whose eigenvalues lie on a vertical line. LESP Tridiagonal matrix with real, sensitive eigenvalues. RANDCORR Random correlation matrix with specified eigenvalues. quit