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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

0 votes
1 answer
132 views

Finding positive vectors of a special LGS

Let the following $4 \times 4$ LGS be given for which all coefficients $a_1, a_2, a_3, a_{11}, a_{12}, ..., a_{33}$ are $>0$: $a_1 + a_{11} \; x_1 + a_{12} \; x_2 + a_{13} \; x_3 + 0 \; x_4 = (a_{11} …
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0 votes
1 answer
94 views

Minimally change matrix with determinant 0

In the following matrix equation, all coefficients $a_{ij}>0$ and all $a_i>0$ and the column sums in the matrix $A$ are all 0 (e.g. $-a_{11}+a_{21}+a_{31}=0$, etc.). This means that the determinant o …
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