Rank of Outer Product Matrix - Quant Trader Interview Question
Difficulty: Easy
Category: Data Science
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Topics: linear-algebra, rank, outer-product, matrix
Problem Description
You are building a factor model and need to understand the properties of matrices formed from factor exposures. Let $u$ and $v$ be two non-zero column vectors in $ \mathbb{R}^n $. Consider the matrix $A$ formed by the outer product of $u$ and $v$, i.e., $A = uv^T$.
What is the rank of the matrix $A$?
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