(c) Consider the set of vectors S = {V1, V2, U3, U₁}. and suppose that the equation A₁0₁ + A202 + A303 + ₁¹₁ = 0 gives the following Row Echelon Form. 1 0 0 -2 4 0 0 0 30 00 0 0 0, i. Find a subset MCS that forms a basis for span(S). Hence find rank(S). ii. Find a basis and the dimension of the solution space of the equation A₁0₁ + A₂02 + A303 + A10₁ = 0

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