SandorSzabo

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19 years, 227 days

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These are questions asked by SandorSzabo

I have a matrix,  T:=[cos(x)  -sin(x); sin(x)  cos(x)].

Maple11 can calculate the eigenvalues symbolically. Nice property. However

(v,e):=Eigenvectors(T)

gives

Error, (in LinearAlgebra:-LA_Main:-Eigenvectors) expecting either Matrices of rationals, rational functions, radical functions, algebraic numbers, or algebraic functions, or Matrices of complex(numeric) values.

Is there any possibility to calculate the eigenvectors symbolically?

Thanks,

How could I obtain the 2 values (a, b are reals) of this complex number?

I tried

assume(a::real)

assume(b::real)

sqrt(a+i b)    and     (a+i b)^(1/2)  give back the input.

Thanks,             Sandor

assume(u::real)

assume(v>0)

assume(lambda>0)

Im( u+i v / u+i v+lambda )   is ok.

Im( (u+i v / u+i v+lambda)^2 )   is ok.

Im( (u+i v / u+i v+lambda)^3 )   is ok.

Im( (u+i v / u+i v+lambda)^4 )   is not ok.

Maple gives back the input.  

What is the problem with my input?

Sandor

I want to obtain an asymptotic formula (n->infinity) for

sum(2/k,  k=1..n).

Direct method does not work. Probably it is needed some transformation (maybe theory) before it. Could you help me?

                                                         Sandor

I work with multivariable polynomials, and the Maple answer is very long. When I want to print the worksheet (document mode), the long formulas are truncated. How can I force Maple to do a linebreak? For example at the 72nd position.

Sandor

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