 | 1 | initial version |
When you have a standard vector space like $\mathbb Q^3$ with some vectors, we can check whether they are linearly independent or not.
v1 = vector(QQ, [0,1,-3])
v2 = vector(QQ, [4,1,0])
V = QQ^3
relations = V.linear_dependence([v1, v2]); relations
Now my question is the following is there a direct method to check whether a couple of matrices are linearly independent in the set of $n\times n $ matrices over $\mathbb R$?
When you have a standard vector space like $\mathbb Q^3$ with some vectors, we can check whether they are linearly independent or not.
v1 = vector(QQ, [0,1,-3])
v2 = vector(QQ, [4,1,0])
V = QQ^3
relations = V.linear_dependence([v1, v2]); relations
Now my question is the following is there a direct method to check whether a couple of matrices are linearly independent in the set of $n\times n $ matrices over $\mathbb R$?R$? More precisely how can I convert
MatrixSpace(CDF,4,4)
to a vector space and get vectors like above?
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