Gate CS-2017-1 Question Paper With Solutions

Q. 21 Let c¹, cⁿ be scalars not all zero. Such that the following expression holds:

where a_i is column vectors in Rⁿ.
Consider the set of linear equations.
Ax = B.
where A = [a₁…….a_n] and

. Then, Set of equations has

(A) a unique solution has x = j_n where j denotes n dimensional vector for all 1.

(B) no solution

(C) infinitely many solution

(D) finitely many solution

Answer: (C)

Explanation: