What would you have to know about the solution set of a

Chapter , Problem 7E

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QUESTION:

What would you have to know about the solution set of a homogeneous system of 18 linear equations in 20 variables in order to know that every associated nonhomogeneous equation has a solution? Discuss.

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QUESTION:

What would you have to know about the solution set of a homogeneous system of 18 linear equations in 20 variables in order to know that every associated nonhomogeneous equation has a solution? Discuss.

ANSWER:

Solution 7EConsider a homogeneous system of 18 linear equations in 20 variables, .So, the coefficient matrix A will have 18 rows, and 20 columns.As the solution set of this homogeneous system is spanned by two solutio

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