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###### Swagat posted an Question
September 20, 2021 • 16:41 pm 15 points
• IIT JAM
• Mathematics (MA)

# Which of the following subset of r' is a basis of r* ? b=((1,0,0,0), 0.1.0.0), 1l10),4.1.1.1)} b={(1,0,0,0),(1,2,0,0), 1,2,3,0),(1,2,3,4)) b ={0,2,0,0), (0,0,1,

Which of the following subset of R' is a basis of R* ? B=((1,0,0,0), 0.1.0.0), 1L10),4.1.1.1)} B={(1,0,0,0),(1,2,0,0), 1,2,3,0),(1,2,3,4)) B ={0,2,0,0), (0,0,1,1). (2,1,0,0), (-5,5,0,0)) (a) B and B, but not B3 (c) B and B3 but not B (b) B1, B and B3 (d) only B

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a

• ##### Sai

that answer is A option - B1 and B2 are but not B3. The first condition for the basis is it should be LI(Linearly Independent) check out this solution.

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