## 607 Reputation

19 years, 286 days

## Eigenvector...

Maple

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,

## (a+i b)^(1/2)...

Maple

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

## Not willing to compute...

Maple

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

## asymptotic...

Maple

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

## Too long multivariable polynomial...

Maple

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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