Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Linear Algebra Vector Spaces
Which of the following is a subspace of R3?
1
W = \(\left\{(x, y, z) \in \mathbb{R}^3: x+4 y-10 z=-2\right\}\)
2
W = \(\{(x, y, z) \in \mathbb{R}: x y=0\}\)
3
W = \(\left\{(x, y, z) \in \mathbb{R}^3: 2 x+3 y-4 z=0\right\}\)
4
W = \(\left\{(x, y, z) \in \mathbb{R}^3: x \in \mathbb{Q}\right\}\)