System of Equations 04. 05. Chapter 04. 05
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Where
is the identity matrix.
In other words
, let [
A
] be a square matrix. If
is another square matrix
of the same size such that
, then
is the inverse of
.
is then called to be invertible or nonsingular. If
does not exist
,
is called noninvertible or singular.
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is the identity matrix.
is another square matrix 
, then 
. 