How do you find the determinant of #((-2, 1), (3, 8))#? Precalculus Matrix Algebra Determinant of a Square Matrix 1 Answer Ratnaker Mehta Jul 19, 2018 # -19#. Explanation: #"The Reqd. Detrmnt."=|(-2,1),(3,8)|#, #=(-2)(8)-(3)(1)#, #=-16-3#, #-19#. 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 1545 views around the world You can reuse this answer Creative Commons License