Linear system and matrices: For the system of linear equations, the matrix representation is,where
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Important result:
If
A
is an
matrix. Then
A
is nonsingular (has an unique inverse) if and only if
has a unique solution
.
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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. Then A is nonsingular (has an unique inverse) if and only if 
.