How do you find the determinant of #((4, -7), (3, -2))#? Precalculus Matrix Algebra Determinant of a Square Matrix 1 Answer Shwetank Mauria Feb 16, 2016 Value of the determinant is #13# Explanation: The value of a #2X2# a determinant #((a,b),(c,d))# is given by #(ad-bc)# i.e.#(4*(-2)-3*(-7))# or #(-8+21)# or #13#. 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 1688 views around the world You can reuse this answer Creative Commons License