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  • https://math.libretexts.org/Bookshelves/Linear_Algebra/Matrix_Analysis_(Cox)/04%3A_Least_Squares/4.01%3A_Least_Squares
    We learned in the previous chapter that Ax=b need not possess a solution when the number of rows of A exceeds its rank, i.e., r<m. As this situation arises quite often in practice, typically in t...We learned in the previous chapter that Ax=b need not possess a solution when the number of rows of A exceeds its rank, i.e., r<m. As this situation arises quite often in practice, typically in the guise of 'more equations than unknowns,' we establish a rationale for the absurdity Ax=b.

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