There are two values of α which make the determinant Δ = 1−252α−1042α = 86. The sum of these two values of α is:

If the determinant of the matrix [[1, 2, 3, 4], [5, 6, 7, 8], [2, 3, 5, 7], [3, 5, 8, k]] is equal to 0, find the value of k.

If | a-b p-q x-y | | b-c q-r y-z | | c-a r-p z-x | = k | a b c | | p q r | | x y z |, then what is the value of k?

What is the value of a determinant if all elements in any one row are zero?

What is the value of a determinant if all elements in any one row are zero?

If A is a 3 × 3 matrix such that det(A) = -2, what is the value of det(adj(adj A))?