Linear Combination of 3 matrices.

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Porgs 2018-4-15

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评论： Walter Roberson 2018-4-15

采纳的回答： Walter Roberson

How do you compute the linear combination of 3 (1x3) matrices.

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Answer 1

Walter Roberson 2018-4-15

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There are an infinite number of linear combinations of matrices: you cannot compute them all.

Is it possible that the question you are dealing with has to do with finding the point that is at the intersection of linear combinations of three vectors?

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Walter Roberson 2018-4-15

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Let the vectors be v1, v2, v3, and let the target matrix be b. Then

 A = [v1(:), v2(:), v3(:)];
 x = A\b

Then b is a linear combination of the vectors if and only if x either only has one column or else x(:,2:end)./x(:,1) is the same (to within round-off) for all entries in any given column. (But do be careful about dividing by 0)

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