R\" be a lincar transformation. Consider the equations (1) (2) Tr = b1 Ta =b2 for some b1,b2 E R\". Let S1,S2 be the set of solutions of (1) and (2) respectively such that"> r\" be a lincar transformation. consider the equations (1) (2) tr = b1">
Sahin Sk posted an Question
February 08, 2022 • 12:20 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let t: r"> r" be a lincar transformation. consider the equations (1) (2) tr = b1 ta =b2 for some b1,b2 e r". let s1,s2 be the set of solutions of (1) and (2) re

Let T: R"> R" be a lincar transformation. Consider the equations (1) (2) Tr = b1 Ta =b2 for some b1,b2 E R". Let S1,S2 be the set of solutions of (1) and (2) respectively such that S1 and S2 are not similar as sets. Then (A) Both (1) and (2) are always consistent. (B) Both (1) and (2) are always inconsistent. (C) One of them is consistent and other is inconsistent, if bi and b2 are distinct non - zero vectors. (D) None of the above

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