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reset()
use(linalg)
Warning: Identifier 'htranspose' is not exported because it already has a value.
Warning: Identifier 'transpose' is not exported because it already has a value. [
Warning: Identifier 'hilbert' is not exported because it already has a value. [us
use(plot)
Warning: Identifier 'Pyramid' is not exported because it seems to be protected. [
Warning: Identifier 'hull' is not exported because it already has a value. [use]
Warning: Identifier 'Integral' is not exported because it seems to be protected.
EXERCICI 1.
x:=2^3.1-ln(10)+3*sqrt(2)
DIGITS:=
float(x)
EXERCICI 1.
reset()
f:=sin(x)/x
sin x
x
plot(sin(x)/x,x=-12..12)
-12 -10 -8 -6 -4 -2 2 4 6 8 10 12
-0.
x
y
subs(f,x=0)
Error: Division by zero. [_power]
EXERCICI 1.
use(matrix)
use(matrix)
Warning: Identifier 'subs' is not exported because it already has a value. [use]
Warning: Identifier 'subsex' is not exported because it already has a value. [use
Warning: Identifier 'info' is not exported because it already has a value. [use]
A:=matrix([[3,4,14,-4],[11,7,6,9],[8,-10,0,5],[-3,3,2,15]])
A[2,4]:=
AT:=transpose(A)
b:=matrix([1,0,5,-4])
A*b
A.b
EXERCICI 1.
L:=matrix([[1,0,0],[2,1,0],[4,-3,1]])
U:=matrix([[1,5,-2],[0,2,3],[0,0,1]])
L^(-1)
U^(-1)
A:=randomMatrix(20,20,Unimodular)
AT:=transpose(A)
det(A)
A^(-1)
A^(-1)
A*A^(-1)
A^(-1)*A
EXERCICI 2.
A:=matrix([[0,6,36,216],[0,0,6,36],[0,0,0,6],[0,0,0,0]])
B:= A - 1/2A^2 + 1/3A^3 - 1/4*A^
A^
A^
B + 1/2B^2 + 1/6B^3 + 1/24*B^
EXERCICI 3.
reset()
use(linalg)
Warning: Identifier 'htranspose' is not exported because it already has a value.
Warning: Identifier 'transpose' is not exported because it already has a value. [
Warning: Identifier 'hilbert' is not exported because it already has a value. [us
use(matrix)
Warning: Identifier 'subs' is not exported because it already has a value. [use]
Warning: Identifier 'subsex' is not exported because it already has a value. [use
Warning: Identifier 'info' is not exported because it already has a value. [use]
use(plot)
Warning: Identifier 'Pyramid' is not exported because it seems to be protected. [
Warning: Identifier 'hull' is not exported because it already has a value. [use]
Warning: Identifier 'Integral' is not exported because it seems to be protected.
A:= matrix([[2,2,4],[0,4,4],[-2,2,6]])
eigenvalues(A);
eigenvalues(A^2);
eigenvalues(A^3);
eigenvalues(A^4)
eigenvalues(A^-1);
eigenvalues(A^-2);
eigenvalues(A^-3);
eigenvalues(A^-4)
A^
tr(A);
det(A)
llista:=eigenvectors(A)
V:=llista[1][3][1].llista[2][3][1].llista[3][3][1]
EXERCICI 3.
reset()
use(linalg)
Warning: Identifier 'htranspose' is not exported because it already has a value.
Warning: Identifier 'transpose' is not exported because it already has a value. [
Warning: Identifier 'hilbert' is not exported because it already has a value. [us
A:=matrix([[0,f2,f3],[s1,0,0],[0,s2,0]])
0 f2 f
s1 0 0
0 s2 0
-charpoly(A,λ)
