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GATE | GATE-CS-2006 | Question 23
F is an n*n real matrix. b is an n*1 real vector. Suppose there are two n*1 vectors, u and v such that, u ≠ v and Fu = b, Fv = b. Which one of the following statements is false?
(A)
Determinant of F is zero.
(B)
There are an infinite number of solutions to Fx = b
(C)
There is an x≠0 such that Fx = 0
(D)
F must have two identical rows
Answer
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