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Keywords: matrix, determinate, Cramer's rule, and an augmented matrix
Key Concepts: augmented matrix, matrix and matrix row operations, dependent and inconsistent systems, second-order and third-order determinants, and Cramer's rule.
We will determine if a linear system or graph of a linear system is inconsistent or inconsistent, and if consistent systems are they dependent or independent; use the Gauss-Jordan elimination method to solve a system of linear equations in and two and three variables; define an augmented matrix; perform matrix and matrix row operations, evaluation second-order and third-order determinants; and use Cramer's rule to solve systems of equation in both two and three variables.
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