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Is R Infinity A Vector Space?

January 24, 2024 by Leah Jackson

Is R Infinity A Vector Space? Rn and any subspace of Rn is a vector space, with the usual operations of vector addition and scalar multiplication. Example. Let R∞ be the set of infinite sequences a = (a1,a2,a3,… ) of real numbers ai ∈ R. … The zero vector in this space is the sequence

Is Zero An Infinite Number?

January 24, 2024 by Charlene Dyck

Is Zero An Infinite Number? The concept of zero and that of infinity are linked, but, obviously, zero is not infinity. Rather, if we have N / Z, with any positive N, the quotient grows without limit as Z approaches 0. Hence we readily say that N / 0 is infinite. … So we say