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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