Question

Let v1, . . . , v9 be the column vectors of a non-zero 9 × 9 real matrix A. Let a1, . . . , a9 ∈ $\R$, not all zero, be such that $\sum^9_{i=1}a_iv_i=0$. Then the system $Ax=\sum^9_{i=1}v_i$ has

• A. no solution
• B. a unique solution
• C. more than one but only finitely many solutions
• D. infinitely many solutions

Answer 1

Answer: (D)

infinitely many solutions

Answer 2

The correct option is (D) : infinitely many solutions.