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Linear Algebra for Data Science Using Python

Challenge: Subspace Dimension Finder

Understand how to find the smallest subspace that includes multiple vectors by calculating their linear independence. This lesson guides you through implementing a function that uses matrix rank to identify the dimension of that subspace, reinforcing key concepts in vector spaces and their applications.

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Statement

Write a smallestSubspaceDimensionFinder function that accepts a collection of four vectors in the R5\R^{5}, say, S={v1,v2,v3,v4}S = \{v_1, v_2, v_3 , v_{4}\} ...