System of Equations 04. 05. Chapter 04. 05
If a solution exists, how do we know whether it is unique?
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If
a solution exists
, how do we know whether it is unique?
In a system of equations
that is consistent
, the rank
of the coefficient matrix
is the
same as the augmented matrix
. If in addition, the rank of the coefficient matrix
is same as the number of unknowns,
then the solution is unique
; if the rank of the coefficient matrix
is less
than the number of unknowns
, then infinite solutions exist.
Figure 5.2.
Flow chart of conditions for consistent and inconsistent system of equations.
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. If in addition, the rank of the coefficient matrix 