Cramer's Rule is a mathematical theorem used to solve systems of linear equations with as many equations as unknowns, provided the determinant of the coefficient matrix is non-zero. This rule utilizes determinants to express the solutions of the variables as ratios of determinants, making it a useful method for finding unique solutions to linear systems when an inverse matrix may not be readily calculated. The rule's reliance on determinants highlights its connection to concepts of matrix inverses and the properties of linear transformations.
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