thatjondoe409 thatjondoe409

13-12-2022
Mathematics

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a mathematician has found 5 solutions to a homogeneous system of 40 equations in 42 variables. the 5 solutions are linearly independent and all other solutions can be constructed by adding together appropriate multiples of these 5 solutions. will the system necessarily have a solution for every possible choice of constants on the right side of the equation? explain

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