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Matrix
Fri, 2010-07-09 16:03 - Ismail
If I have the matrix A=[1 2 3;4 5 6;7 8 9] and the matrix B={1;2;3}
of course A*B is C={14;32;50}.
My question how can I get the matrix A if I have B and C ?
thank in advance
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Matrix product
It is not possible. It can be explained, at least, in three ways:
1. It is equivalent to solve a system of three equations and nine unknowns.
2. The inverse matrix is only defined for a square matrix.
3. The matrix A that satisfies the equation is not unique: Any new matrix obtained by a linear combination of rows or columns satisfy also the equation.
Regards
Re:
Agree with Faustino,
A simple example is:
A=[14,0,0;0,16,0;0,0,50/3] also satisfies the equation.
many answers
there are many A satisfying your request.