تصویر:Quadratic eigen.png

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Quadratic_eigen.png (4KB, MIME type: image/png)

// Scilab script to generate the figure

// Quadratic form
//5y^2+8xy+5x^2=9  (plot this equation)
xm=sqrt(20*9/36);    // limits  (from the quadratic formula)
x1=[-xm:.01:xm];
y1=(-8*x1+sqrt(-36*x1.^2+20*9))/10;  // use quadratic formula
y2=(-8*x1-sqrt(-36*x1.^2+20*9))/10;  // use quadratic formula
plot(x1,y1,'b');
plot(x1,y2,'b');
A=[5 4; 4 5];            // matrix of the Quadratic form
[V,E]=spec(A);       // eigenvectors and eigenvalues
plot([0,V(1,1)].*3.5,[0 V(2,1)].*3.5);
plot([0,V(1,2)].*3.5,[0 V(2,2)].*3.5);
square(-3, -3, 3, 3);
xstring(-2.5,2.55,'u');
xstring(2.5,2.55,'v');
xstring(-2.15,2.2,'3');
xstring(.69,.75,'1');

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  • (ضائع) ( رائج) 14:49, 5 اگست 2006 . . Urdutext (تبادلۂ_خیال | شـراکـت) . . 317×317 (3,254 bytes) (<div dir="ltr" align="left"> // Scilab script to generate the figure <PRE> // Quadratic form //5y^2+8xy+5x^2=9 (plot this equation) xm=sqrt(20*9/36); // limits (from the quadratic formula) x1=[-xm:.01:xm]; y1=(-8*x1+sqrt(-36*x1.^2+20*9))/10; // use )

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