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 1636 views around the world You can reuse this answer Creative Commons License