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In my research a I need to solve the linear equation (getting its null space) under some constraints.

The matrix is given below:

 

The constraints shall be (x[1]...x[16]>0, x[17]...x[20] arbitary...)

The solutions shall actually be a canonical combination of a lot of vectors, (canonical combination means possitive sums of vectors). And I wish to get those vectors. is there a way that I could achieve this by Maple?

how can i convert these equations to the vector mode ? 

eq1[t] := .4614468816e11*a[13][t]*a[14][t]+2291210.983*a[16][t]^2-.2842690977e11*a[17][t]^2-.1782456232e12*a[18][t]^2+.1689228391e12*a[13][t]^2+6406045.412*a[14][t]^2-4317791.317*a[15][t]^2+.9846526429e12*a[1][t]+.2533881291e12*a[2][t]+.3076607771e11*a[3][t]+8105875.203*a[4][t]-5054889.363*a[5][t]-34561.30764*a[6][t]-6275707.162*a[16][t]*a[13][t]-20873274.82*a[14][t]*a[16][t]-27435155.86*a[16][t]*a[15][t]-5539558.102*a[17...

Think of ranking as a vector in R^Z, where Z is the total number of webpages on the web.

For a given network of Z web pages, let A = [a_jk(little)] be the matrix

a_jk(little) = { 1 if page k has a link to page j

                  { 0 otherwise

1. How do you determine the matrix A for my network of pages?

2. And the number of recommendations that page j gets...

 

Hi,

I have this system of lienar equations:

I need to write a procedure to check whether a group of input vectors is an orthonormal basis. If anyone can help me with this I would really appreciate it. Thanks.

If S= { <0,1>,<1,2>} and T={<1,1>,<2,3>} are ordered bases for R2 and v=<1,5> and w=<5,4>, then can someone help me:

-find the coordinate vector of v and w with respect to the basis T by creating a procedure?

-I can make a procedure to find the transition matrix PS<-T from T to S-basis, but can you help find the coordinate vector of v and w with respect to the basis S. Using PS<-T?

Hi guys, I would like some help writing a procedure that checks whether the group of input vectors is an orthogonal basis. Any help would be great!

Hello everyone, new member here. I've been working with Maple 16/Mathematica 8/Matlab to find the determinants of some symbolic nxn matrices (a1,1 a1,2 etc). Matlab is able to do them quite easily but when they start getting too large it starts truncating them down to 25000 terms. Mathematica works like a charm but I want to beable to verify the results with Maple. Maple does great up to 7x7  but at 8x8 it seems to also truncate results like Matlab and past that...

We are a group of students trying to solve this, we can't find a way.

We are given the system of equations

ax + y +z +u =  1
  x  -y  -z +u  = -a
       y +z -au = b
  x- y +bz +u =-2a


For what values ​​of a and

Column Operations...

September 20 2012 pricek 0

I used Maple to calculate the Smith form of a 24 by 36 matrix.  

1. How can I find the column operations so that I can apply them to the identity matrix and obtain the change of variables matrix?  

2. If I can't find the column operations then is there a way to have Maple do the same column operations on the identity matrix that it used to find the Smith form of the 24 by 36 matrix?

When maple does gauss elimination for matrice(student linalg). In "edit matrice" can i solve for x1,x2,x3..?

A := Matrix([[5, 4, 5, 4, 8, 4, 6, 1, 4], [2, 8, 4, 7, 5, 1, 9, 6, 1], [8, 4, 9, 8, 8, 8, 6, 2, 8], [7, 1, 8, 6, 6, 5, 3, 7, 7], [8, 7, 9, 4, 7, 8, 2, 7, 4], [5, 1, 7, 8, 5, 7, 2, 2, 8], [7, 4, 1, 7, 7, 1, 7, 8, 6], [2, 9, 9, 4, 7, 5, 2, 6, 8]]);

Create the vector b that is column 7 from A and the matrix C that is made from columns 1 to 6 and 8 to 9 of A (in the same order as the columns of A

i have this unfinished procedure to multiply two matrices 

multmatrix:= proc(A:matrix)

local m,n,i,j,r,c,t,a;

m:=linalg[rowdim](A);

n:= linalg[coldim](A);

i:=linalg[rowdim](B);

j:=linalg[coldim](B);

K:=array(1..m,1..n);

H:=array(1..i,1..j);

I have to solve a linear system

in Maple. A is a tridiagonal matrix.

My problem is that my matrix A is big and therefore, I have to wait too long. Is there some function in Maple that can help this problem?

Doc3.docx  

suppose my matrix is in the form as i attached in Doc3.docx

how should i find the determinant for that M1 matrix in the attached document programatically,

i fint the determinant of M matrix programatically, but how to find it for M1,M2 ........M6.

 

please help me with solution.

 

Thanks and Regards,

ppdev.

 

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