F is an n x n real matrix and b is an n x 1 real vector. Suppose there are two…
GATE · 2006 · CS
F is an n x n real matrix and b is an n x 1 real vector. Suppose there are two n x 1 vectors u and v such that u != v, Fu = b, and 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.
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