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    Show the given matrix is a vector space and find its dimension

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    Let W be the set of all 2x2 matrices of the form [a -b]. Then under the usual matrix operations W is
    [b -a]
    1. Not a vector space
    2. a vector space of dimension 1.
    3. a vector space of dimension 2.
    4. a vector space of dimension 3.
    5. a vector space of dimension 4.

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    https://brainmass.com/math/basic-calculus/show-given-matrix-vector-space-find-dimension-596653

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    The solution gives detailed steps on showing the given matrix is a vector space and then finding its dimension.

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