Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematics Elementary Number Theory Vector Spaces
Which of the following set of vectors x = (x1, x2, x3) and R3 is a subspace of R3?
1
all x such that x2 is rational
2
all x such that x1 + 3x2 = x3
3
all x such that x1 ≥ 0
4
all x such that \(x_2=x_1^2\)