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###### Sudhanshu Kumar posted an Question
December 04, 2021 • 12:48 pm 30 points
• IIT JAM
• Mathematics (MA)

# Which one of the following is a subspace of the vector space r' ?p (a) (x,y, z) e r* : x+2y = 0, 2x +3z = 0 (b) (x,y, z) e r" : 2x + 3y +4z -3 = 0, z = o (c)(x,

Which one of the following is a subspace of the vector space R' ?P (a) (x,y, z) e R* : x+2y = 0, 2x +3z = 0 (b) (x,y, z) e R" : 2x + 3y +4z -3 = 0, z = O (c)(x, y, z) e R" :x20, y2 0 d) (x,y, z) e RS :x-1 = 0, y = O

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• ##### Kanika goswami 1

option A and B are correct and C D are incorrect because they fails in external product property.

explain how

for A and B check au+bv belongs to Respected given set for all a,b scalars

and for C and D. check attachment.

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