Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Linear Algebra Linear Dependence, Basis & Dimension
For the subset S = {(1, 0, 0), (0, 1, 0), (0, 0, ), (1, 1, 1), (1, 1, 0)} in ℝ3 which of the following is (/are) correct:.
(A). S is a linearly dependent set.
(B). Any three vectors of S are linearly independent.
(C). Any four vectors of S are linearly dependent.
Choose the correct answer from the options given below:
1
(B) and (C) only.
2
(A), (B) and (C).
3
(A) and (C) only.
4
(A) and (B) only.