Let A = [a_ ij ] be a real matrix of order 3 × 3, such that a_ i1 +a_ i2 +a_ i3 = 1, for i = 1, 2, 3. Then,...

Question

Let A = [a_ ij ] be a real matrix of order 3 × 3, such that a_ i1 +a_ i2 +a_ i3 = 1, for i = 1, 2, 3. Then, the sum of all the entries of the matrix A^3 is equal to :

Accepted Answer

(C)

JEE Main 2021 Mathematics question

Solution