I was working with the computation of the eigenvectors of a 3X3 symmetric matrix with algebraic entries and Maple 17 doesn´t give me an answer after a long time, even with CUDA activated. You can see this by the commands below:

How do I tell if the columns of A form a basis of R^5 using maple? And based on that how do I see if the matrix A is invertible using maple?

Let

A =

[ 3 1 4 1 5 9 ]

[ 2 6 5 3 5 8 ]

[ 9 7 9 3 2 3 ]

[ 8 4 6 2 6 4 ]

[ 3 3 8 3 2 7 ]

I know the answers to them but I just don't know how to solve them using maple. Please help..

Thank you

Hi,

I am working on a instability problem where I  pose my probkem as a generalized eigenvalue problem. My matrices can reach size 3000x3000. However, even this one 

with(RandomTools); with(LinearAlgebra);
interface(rtablesize = 20);

Digits := 25;
A := RandomMatrix(200, 200);
EigVal := evalf(Eigenvalues(A));

right now running for an hour but still no result. Is there a way to speed up this process? 

Can anyone explain the inconsistency in the following?

How do I find out if a matrix is linearly dependent or independent using maple?

Let

A =

[ 3 1 4 1 5 9 ]

[ 2 6 5 3 5 8 ]

[ 9 7 9 3 2 3 ]

[ 8 4 6 2 6 4 ]

[ 3 3 8 3 2 7 ]

Determine if the columns of A are linearly independent or dependent. If dependent, then give a dependence relation.

I know the answers to them but I just don't know how to solve them using maple. Please help..

Thank you

Consider the following 2 sets of vectors in R^4: A = {v1, v2, v3}, B = {w1, w2, v3}. You are given that A is a set of linearly independent vectors and that B is a set of linearly independent vectors.

The intersection of 2 sets is the set of elements that are common to both sets. Suppose u is in the intersection of span A and span B. Determine a system of equations that could be used to determine all such u

Hi

i want to minimizez the "Eq1(h[1],h[2],...h[n])" for all the h[i] in the ranges of -1<h[i]<1.  "n" (number of unknown variables) can be determined during the code and was not know before. how can i do this?

It must be stated that when i have Eq1 and two unknown variables such as h[1] and h[2], i wrote the following code and it works good, but i dont know how can i write mentioned command for unknown number of variables.

NLPSolve(Eq1,h[1]=-1..1,h[2]=-1..1);

thanks for your attention in advance

my function is:

f := proc (x) if 0 < x and x < evalf(Pi) then 1 elif evalf(Pi) < x and x < evalf(2*Pi) then -1 end if end proc

now it tried:

f1 := add((-1)^n*f(x-evalf(2*n*Pi)), n = 0 .. 10)

to get a periodic function.

but unfortunately it says:

Error, (in f) cannot determine if this expression is true or false: 0 < x and x < 3.141592654

already when trying to calc the sum.

Good morning everyody,

I am trying to plot values saved in a vector but I always get the same message:
Error, (in plots:-pointplot) points cannot be converted to floating-point values
How can I fix it?

Best,

ssteve

Consider the matrix

A =

[ -2 -1 ]

[9/5 4/5]

Compute A^10, A^20, A^30, A^40, and A^50 and based on the answers, determine lim of A^k as k approaches infinity (k -> infinity).

How do I solve this using  Maple?

Thank you

I am trying to get Maple to solve the following rather simple non-linear system.

x=k/4, y=-k/3, z=3k/8, 2x^2+3y^2+4z^2=9

However, solve({x=k/4,y=-k/3,z=3k/8,2x^2+3y^2+4z^2=9},{x,y,z,k}) does not give the expected results. Why not?

ErrorHelp.docx

 SEE ATTACHMENT.. Cannot find how to fix this error. Thanks!

>

Error, Got internal error in Typesetting:-Parse : "invalid subscript selector"

Good afternoon everybody,

I have a problem with the evaluation of a function. You can see the test programm I have written to test the use of functions and in the end I don't get values but the expression in letters.
I think the problem lies in the definition of g but I don't know how to solve the problem.

Thank you for your help,

ssteve

Hello, 

I'd like to identify terms before the differential terms (theta(t), diff(theta(t),t) ...)

The following code with coeff function works for  diff(theta(t), t, t)) but not for diff(theta(t), t)

Here the code :

eq1pp := R(t) = -(-sin(theta[0]+phi)*Isup-sin(theta[0]+phi)*L[fixe]^2*M[fixe]-sin(theta[0]+phi)*L[r]^2*M[r]-sin(theta[0]+phi)*L[sup]^2*M[sup]+cos(theta[0]+phi)*a*sin(phi)*L[fixe]*M[fixe]+cos(theta[0...

I have just made my first polar plot, but I am a little disappointed with the result.

Code
polarplot([(1+cos(x)^2)*(1/2), cos(x)], x = 0 .. (1/2)*Pi) 

Output

How can I remove that little gap between the grey line and the black line?