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...

Determine if

[ 9 ]                         { [ 3 ]  [ 1 ]  [ 4 ]  [ 1 ] [ 5 ] }

[ 8 ]                         { [ 2 ]  [ 6 ]  [ 5 ]  [ 3 ] [ 5 ] }

[ 3 ] E (curvy E) span  { [ 9 ], [ 7 ], [ 9 ], [ 3 ],[ 2 ] }

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.

a) 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

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

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