7. Systems of Equations & Matrices
Determinants and Cramer's Rule
1:10 minutesProblem 3b
Textbook Question
Evaluate each determinant in Exercises 1–10.
- 4 1
5 6
Verified step by step guidance1
Identify the elements of the 2x2 matrix: a = -4, b = 1, c = 5, d = 6.
Recall the formula for the determinant of a 2x2 matrix: det(A) = ad - bc.
Substitute the identified elements into the formula: det(A) = (-4)(6) - (1)(5).
Calculate the product of a and d: (-4)(6).
Calculate the product of b and c: (1)(5).
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