Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
7. Systems of Equations & Matrices
Determinants and Cramer's Rule
Problem 7b
Textbook Question
Evaluate each determinant in Exercises 1–10.
- 5 - 1
- 2 - 7
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1
Identify the elements of the 2x2 matrix: a = -5, b = -1, c = -2, d = -7.
Recall the formula for the determinant of a 2x2 matrix: det(A) = ad - bc.
Substitute the values into the formula: det(A) = (-5)(-7) - (-1)(-2).
Calculate the product of a and d: (-5) * (-7).
Calculate the product of b and c: (-1) * (-2).
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