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If our augmented data matrix is not of full rank, is the least squares solution unique? Do we have any type of uniqueness of our solution?

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data-analyst
quant-research
Technical

To tackle this question, ensure that you understand the concepts of matrix rank, augmented data matrix, and least squares solution. Reflect on the conditions under which a solution to a system of equations is unique, and recognize the implications of matrix singularity on the uniqueness of solutions.

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