Akash Babu posted an Question
July 02, 2022 • 19:11 pm 30 points
  • CSIR NET
  • Mathematical Sciences

4 let w be a vector space over r and let t: r° w be a linear transtormation, such that s = [le e espans w. which ol the following need nol be always frue (a) s

4 Let W be a vector space over R and let T: R° W be a linear transtormation, such that S = [le e espans w. which ol the following need nol be always frue (A) S is a basis of W. B) T(R) W (C) Te, Te, Te) spans w. (D) ker(T) contains more than one element.

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    Navdeep goyal 1 Best Answer

    S is span of W so W=L(S) if s is LI then S is basis of W but it is not necessary S is LI so A,B,C not true

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