How do you find the determinant of |(8,9,3), (3,5,7), (-1,2,4)|? Precalculus Matrix Algebra Determinant of a Square Matrix 1 Answer Καδήρ Κ. Jul 25, 2017 |(8,9,3),(3,5,7),(-1,2,4)|=-90 Explanation: |(8,9,3),(3,5,7),(-1,2,4)|=8|(5,7),(2,4)|-9|(3,7),(-1,4)|+3|(3,5),(-1,2)|= 8(5*4-7*2)-9(3*4+1*7)+3(3*2+1*5)= 8*6-9*19+3*11=48-171+33=-90 Answer link Related questions What is the determinant of an inverse matrix? What is the determinant of a matrix used for? What is the determinant of a matrix to a power? What is meant by the determinant of a matrix? How do I find the determinant of a 2xx2 matrix? How do I find the determinant of a 3xx3 matrix? How do I find the determinant of of a 4xx4 matrix? How do I find the determinant of of a 5xx5 matrix? Does every matrix have a determinant? What is the cofactor expansion method to finding the determinant? See all questions in Determinant of a Square Matrix Impact of this question 1906 views around the world You can reuse this answer Creative Commons License