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Question: finding parameters

Question:finding parameters

Michele T 5 Maple
linear-algebra
November 08 2010
0

Is there a way to solve the following problem?
Given a nxn A=(A_ij) matrix (for example n=3,4...) where A-ij is a
polynomial of degree one in X_1, ..., X_n, and given a n-vector
v=(B_11*X_1+...+B_1n*X_n, ..., B_n1*X_1+...+B_nn*X_n)^t where B_ij are
parameters, is it possible to find value for B_ij in such way that the
vector v belongs to the vector space spanned by the columns of A?
thank you.
best
Michele
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