GATE | GATE-CS-2014-(Set-3) | Question 15
If V1 and V2 are 4-dimensional subspaces of a 6-dimensional vector space V, then the smallest possible dimension of V1 ∩ V2 is ______.
Explanation: First, note that V1+V2 is still in V, so dim(V1+V2)≤ 6.
We know that
The answer is B.
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