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4-8 Augmented Matrices and Systems

4-8 Augmented Matrices and Systems. Solve systems with unique solutions using determinants & Cramer’s Rule. Coefficient matrix. 3 X 3 Matrices. Coefficient matrix. Use Cramer’s Rule to solve the system. Augmented Matrices. Contain coefficients & constants from a system

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4-8 Augmented Matrices and Systems

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  1. 4-8 Augmented Matrices and Systems

  2. Solve systems with unique solutions using determinants & Cramer’s Rule • Coefficient matrix

  3. 3 X 3 Matrices Coefficient matrix

  4. Use Cramer’s Rule to solve the system

  5. Augmented Matrices • Contain coefficients & constants from a system • Each row of matrix represents an equation • EX:

  6. Row Operations • Use 1 or more to solve systems using augmented matrices • Switch any 2 rows • Multiply a row by a constant • Add one row to another • Combine one or more of these steps

  7. Use an augmented matrix to solve the system

  8. Using a graphing calculator • Enter the augmented matrix as matrix A • Use the rref feature of your graphing calculator • The last column represents the solution • Use a graphing calculator to solve the system:

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