Linear system and matrices: For the system of linear equations, the matrix representation is,where
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vector
and
is a
vector
,
if there exists a matrix
such that
identity matrix, then
is the solution.
We now introduce the matrix
.
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linalgebra -> Coefficient matrix and augmented matrix: The coefficient matrix derived from a system of linear equations
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is a 
vector, 
such that 
identity matrix, then 
is the solution.