Open Question
Use Cramer's rule to solve each system of equations. If D = 0, then use another methodto determine the solution set. See Examples 5–7. (1/2)x + (1/3)y = 2 (3/2)x - (1/2)y = -12
7. Systems of Equations & Matrices
Determinants and Cramer's Rule
Struggling with College Algebra?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Evaluate the determinant of the matrix.
A
B
C
33
D
12
Verified step by step guidance1
Identify the elements of the 2x2 matrix: a = 4, b = \frac{9}{2}, c = \frac{2}{3}, d = 9.
Recall the formula for the determinant of a 2x2 matrix: det(A) = ad - bc.
Substitute the identified elements into the determinant formula: det(A) = (4)(9) - (\frac{9}{2})(\frac{2}{3}).
Calculate the product of the diagonal elements: 4 * 9.
Calculate the product of the off-diagonal elements: \frac{9}{2} * \frac{2}{3}.
4:36mWatch next
Master Determinants of 2×2 Matrices with a bite sized video explanation from Patrick
Start learningRelated Videos
Related Practice
Determinants and Cramer's Rule practice set
Problem sets built by lead tutorsExpert video explanations