Section 1.7
"Special Systems" of Equations
SOME THEOREMS
I.
Given a system of linear equations,
exactly one of the following
possibilities holds:
(A) The system has infinitely many
solutions.
(B) The system has no solution.
(C)The system has exactly one
solution.
What happens if we have more
unknowns than equations?
Let’s look at a couple of examples.

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