Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Linear Algebra Linear Dependence, Basis & Dimension
Which of the following subsets of ℝ4 is a basis of ℝ4?
B1 = {(1,0,0,0), (1,1,0,0), (1,1,1,0), (1,1,1,1)}
B2 = {(1,0,0,0), (1,2,0,0), (1,2,3,0), (1,2,3,4)}
B3 = {(1,2,0,0), (0,0,1,1), (2,1,0,0), (-5,5,0,0)}
1
B1 and B2 but not B3
2
B1, B2 and B3
3
B1 and B3 but not B2
4
Only B1