Linear system and matrices: For the system of linear equations, the matrix representation is,where
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Definition of inverse matrix:
An
matrix
A
is called nonsingular or
invertible if there exists an
matrix
B
such that
,
where
is a
identity matrix.
The matrix
B
is called an inverse of
A
. If
there exists no such matrix
B
, then
A
is called singular or noninvertible.
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linalgebra -> Coefficient matrix and augmented matrix: The coefficient matrix derived from a system of linear equations
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matrix A is called nonsingular or 
,
is a