Determine intersection dimension of two 4D subspaces
Company: Capital One
Role: Data Scientist
Category: Statistics & Math
Difficulty: medium
Interview Round: Technical Screen
Overview: Determine every possible dimension of the intersection of two 4-dimensional subspaces of a 7-dimensional real vector space, and identify which of 0, 1, 2 or 3 cannot occur. Prove the impossible case and give explicit subspaces for an attainable value.
