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    Matrices : Rank

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    A, B and C are matrices. What are their ranks?
    A)
    1 2
    3 4
    5 6
    B)
    1 1
    1 1
    C)
    3 3
    7 7
    11 11

    © BrainMass Inc. brainmass.com February 24, 2021, 2:37 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/matrices-rank-33018

    Solution Preview

    If you consider the rows of an m x n matrix as vectors in R^n, they span a subspace called the row space of the matrix. The dimension of this space is called the "row rank" of the matrix. Similarly, if you consider the columns as vectors in R^m, they also span a subspace of R^m called the column space, and the dimension ...

    Solution Summary

    The ranks of three matrices are found. The solution is detailed. The response was given a rating of "5" by the student who originally posted the question.

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