Determinants & Cramer’s Rule



Determinants & Cramer’s Rule

Class Goals – By the end of the period, you will understand and be able to…

• Evaluate the determinant of a 2x2 and 3x3 matrix.

• Apply using determinants toward solving 2x2 and 3x3 systems of equations.

Calculating the Determinant

[pic]

Example #1 [pic]

Practice Problems Calculate the determinant of the [pic] matrix.

1. [pic] 2. [pic] 3. [pic]

Example #2 [pic]

Practice Problems Calculate the determinant of the [pic] matrix.

4. [pic] 5. [pic]

Cramer’s Rule (for 2x2)

Example #3 [pic] Example #4 [pic]

Cramer’s Rule (for 3x3)

Example #5 [pic]

Practice Problems – Solve the system of equations using Cramer’s Rule.

1. [pic] 2. [pic]

3. [pic] 4. [pic]

5. [pic] 6. [pic]

7. [pic] 8. [pic]

9. [pic] 10. [pic]

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