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 1791 views around the world You can reuse this answer Creative Commons License