## Q8(b) from 2014 Final Winter

Posted in Math by pgadey on 2016/04/07

Exercise 8b Assume ${A}$ is an ${n \times n}$ matrix with ${n \geq 3}$ and has the property that each entry in the first row equals the sum of the ${n-1}$ entries in the column below it. Prove that ${\det(A) = 0}$.