Q4Numerical6 Marks21 Dec 2025Consider the subspace W=span{(1,2,3,0),(0,1,0,0)}W = \text{span}\{(1, 2, 3, 0), (0, 1, 0, 0)\}W=span{(1,2,3,0),(0,1,0,0)} of R4\mathbb{R}^4R4 with the usual inner product. Define W⊥={v∈R4∣w⋅v=0 for all w∈W}W^\perp = \{v \in \mathbb{R}^4 \mid w \cdot v = 0 \text{ for all } w \in W\}W⊥={v∈R4∣w⋅v=0 for all w∈W}. What is the dimension of W⊥W^\perpW⊥?Your answerPress Enter to check.
