circle((0,0), 1, rgbcolor=(1,1,0))
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1+3
4 4 |
plot(cos(x)-x,(0,2))
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plot(cos(x)-x,(0.7,0.8))
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plot(cos(x)-x,(0.73,0.74))
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plot(cos(x)-x,(0.739,0.74))
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x = var('x')
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sage: parametric_plot((cos(x),sin(x)^3),(x,0,2*pi),rgbcolor=hue(0.6))
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sage: parametric_plot((cos(x)**3,sin(x)**3),(x,0,2*pi),rgbcolor=hue(0.6))
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sage: parametric_plot((cos(x)**2,sin(x)**2),(x,0,2*pi),rgbcolor=hue(0.6))
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sage: parametric_plot((cos(x)**5,sin(x)**5),(x,0,2*pi),rgbcolor=hue(0.6))
|
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sage: parametric_plot((cos(x)**3,sin(x)**3),(x,0,2*pi),rgbcolor=hue(0.6))
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a=Matrix([[1,2,3],[4,5,6],[7,8,9]])
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v=vector([2,3,4])*
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v*a
(42, 51, 60) (42, 51, 60) |
a*v
(20, 47, 74) (20, 47, 74) |
kernel(a)
Free module of degree 3 and rank 1 over Integer Ring Echelon basis matrix: [ 1 -2 1] Free module of degree 3 and rank 1 over Integer Ring Echelon basis matrix: [ 1 -2 1] |
rank(a)
2 2 |
transpose(a)*v
(42, 51, 60) (42, 51, 60) |
a.eigenvalues()
[0, -1.116843969807043?, 16.11684396980705?] [0, -1.116843969807043?, 16.11684396980705?] |
a.trace()
15 15 |
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