How do you find the determinant of #((1, 2), (1, 3))#? Precalculus Matrix Algebra Determinant of a Square Matrix 1 Answer Steve M Oct 31, 2016 # |(1,2),(1,3)| = 1 # Explanation: If we have a matrix #A = ((a,b),(c,d))#, then the determinant of #A# denoted #det(A)# or #|A|# is calculated as: # |A| = det(A) = a * d - b*c # # :. |(1,2),(1,3)| = (1)(3) - (2)(1) # # :. |(1,2),(1,3)| = 3 - 2 # # :. |(1,2),(1,3)| = 1 # 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 1743 views around the world You can reuse this answer Creative Commons License