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A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. Suppose that such a system happens to be consistent. Explain why there must be an infinite number of solutions

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tatendagota

Answer:

The equation is overspecified.

Step-by-step explanation:

An equation is solvable if it satisfies the following conditions:

1. The number of equations equals the number of unknowns.

2. There is a unique solution for each unknown term.

A degree of freedom analysis solves the issue. The degree of freedom is given as follows:

F = M-N-R

where F is the net result,

M = number of unknown variables

N = number of equations

R = number of known variables

For an equation to be solvable, the net result, F should be zero (0)

Sometimes a set of equations can have more solutions for the unknowns. In this case, the equations are independent and overspecified.

In this case, the equation has infinite number of solutions.

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