Determine whether each of the following statements is true or false. Any 2 diffe

Question

Determine whether each of the following statements is true or false. Any 2 different lines in R^m, where m greaterthanorequalto 3, must either intersect in exactly one point or else be parallel to one another. Let H_1 and H_2 be hyperplanes in R^m for any m > 3. If 2 different points P and Q (in R^m) both lie on both H_1 and H_2, then H_1 and H_2 must actually be the same hyperplane. A system of linear equations with fewer equations than unknowns cannot have a unique solution. A consistent system of linear equations which has exactly one fewer equations than unknowns cannot have a 2-parameter family of solutions.

Explanation / Answer

(a) FALSE

(B)TRUE

(C) TRUE

(D)FALSE

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