How do you find the value of the determinant #|(4,-1), (-2,3)|#? Precalculus Matrix Algebra Determinant of a Square Matrix 1 Answer Douglas K. Jan 22, 2017 Given a 2 x 2 determinant , #|(a,b),(c,d)|#, its value is: #ad-bc# Explanation: Given: #|(4,-1),(-2,3)| = (4)(3) - (-1)(-2) = 12 - 2 = 10# 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 2556 views around the world You can reuse this answer Creative Commons License