Scalar coefficients for a linear combination of matrices

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Pierre-Luc Rivet
Pierre-Luc Rivet on 6 Mar 2020
Edited: David Goodmanson on 6 Mar 2020
Say I have the equation : aM + bN = C Where M, N and C are matrices and a, b are scalars. How do I find them knowing that C is a linear combination of M and N?

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Accepted Answer

David Goodmanson
David Goodmanson on 6 Mar 2020
Edited: David Goodmanson on 6 Mar 2020
HI Pierre-Luc
[M(:) N(:)]\C(:) produces [a;b]
This assumes that M and N are not proportional to each other, otherwise there are an infinite number of solutions.

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