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Using matrix multiplication and equality, we can wtite a system of
n linear equations in the n
unknowns, x1, x2,...,
xn,
as the matrix equation
or
AX=B,
where A=(aij)n x n,
X=(xi)n x 1, B=(bi)n x 1.
If A-1 exists, we can solve the matrix
equation by multiplying both sides of the equation by
A-1. It gives
X=A-1B. |
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