Essay
Solve the problem.
-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.
Correct Answer:

Verified
No.
Let
be the
coefficient matrix of t...View Answer
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Correct Answer:
Verified
Let
View Answer
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