How do you find the determinant of [(-5,7), (5,8)]? Precalculus Matrix Algebra Determinant of a Square Matrix 1 Answer Steve M Nov 23, 2016 -75 Explanation: det ( (-5,7), (5,8) ) = |(-5,7), (5,8)| = (-5)(8) - (5)(7) = -40 - 35 = -75 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 1442 views around the world You can reuse this answer Creative Commons License