California State Content Standards

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Math AII.2.0: Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with graphs, or with matrices.

Math LA.2.0: Students interpret linear systems as coefficient matrices and the Gauss-Jordan method as row operations on the coefficient matrix.

Math LA.5.0: Students perform matrix multiplication and multiply vectors by matrices and by scalars.

Math LA.6.0: Students demonstrate an understanding that linear systems are inconsistent (have no solutions), have exactly one solution, or have infinitely many solutions.

Math LA.9.0: Students demonstrate an understanding of the notion of the inverse to a square matrix and apply that concept to solve systems of linear equations.

Math LA.11.0: Students know that a square matrix is invertible if, and only if, its determinant is nonzero. They can compute the inverse to 2 x 2 and 3 x 3 matrices using row reduction methods or Cramer's rule.