Thursday, February 26, 2015

Cramer's Rule

In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. It expresses the solution in terms of the determinants of the (square) coefficient matrix and of matrices obtained from it by replacing one column by the vector of right hand sides of the equations.  This section is like a review for me since I can still recall form last year's algebra 2. Cramer’s rule may only be used when the system is square and the coefficient matrix is invertible.

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