Here is an alternative proof of Cramer's Rule that doesn't overtly contain any geometry. Write Xi for

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Here is an alternative proof of Cramer's Rule that doesn't overtly contain any geometry. Write Xi for the identity matrix with column i replaced by the vector  of unknowns x1, . . . , xn.
(a) Observe that AXi = Bi.
(b) Take the determinant of both sides.
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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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