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Q 1 Determine whether the following are real vector spaces. a) The set C with the...

Q 1 Determine whether the following are real vector spaces.

a) The set C with the usual addition of complex numbers and multiplication by R ⊂ C.

b) The set R2 with the two operations + and · defined by (x1, y1) + (x2, y2) = (x1 + x2 + 1, y1 + y2 + 1), r · (x1, y1) = (rx1, ry1)

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