Which of the following is not a subspace of AW₂ = {(a,b,c,d)|a+b+c+d=1} BW₁ = {(a, a, b, b) | a, b = R} CW₂ = {(a, b, c, d) | a = b, c =d} DW₁ = {(a + b, a, b, 0)| a, b < R}

Q: (a) {(a, b, c) ER³ | 2a = 3c}. (b) {(a, b, c) ER3 | a = 0, b = 3c}. (c) {(a+b, ab, 2a + b) | a, b R}…

A: (a), (b) , (c), (d)  are subspaces .

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Q: Let U₁, U2, U3 – be the following subspaces of Rª U₁={a, b, c, d)=R4| ²b=c; a=d=0}; U2={(a, b, c,…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…