How do you find the determinant of #((2, 4, -1), (0, 3, 2), (-5, 7, 1))#? Precalculus Matrix Algebra Determinant of a Square Matrix 1 Answer Bdub Mar 8, 2016 #D=-77# Explanation: #2(3-14)-4(0-(-10))+(-1)(0-(-15))# -> First row expansion #-22-40-15=-77#->simplify 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 1313 views around the world You can reuse this answer Creative Commons License