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  • 3 years ago

M2x3 forms a vector space, Does the set N2x3, which consists of all 2x3 matrices with nonnegative entries form a subspace of M2x3? Justify your answer.

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  1. Dark_Knight_042
    • 3 years ago
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    Nope, because when when 2*3 matrix consisting of non negative entries is multiplied by a negative integer, the resultant 2*3 matrix will not be under N2*3.

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