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    Dimensions of a Matrix

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    Let V = M_2,2 be the space of all 2x2 matrices, and W be the subspace of all A belonging to M_2,2 such that AJ = JA where
    J = [ 1, 1
    0, 1 ]
    Then, the dimension of W is

    A) 0
    B) 1
    C) 2
    D) 3
    E) 4

    © BrainMass Inc. brainmass.com October 10, 2019, 5:47 am ad1c9bdddf

    Solution Preview

    The dimension of W is 2, so C) is correct.

    We can assume that

    A=[a b]

    Solution Summary

    Dimensions of a matrix are discovered.