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Mathematics, 12.03.2020 02:59 CaptainCc

Assuming the standard definitions of addition and scalar multiplication, decide whether or not the following sets are vector spaces. Justify your answers by verifying that all properties of a vector space are satisfied or that at least one of the properties fails to hold.(a) The setVof all3×3lower triangular matrices (all entries above the main diagonal are zero).(b) The setVof all2×2matrices whose determinants are 0.

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