Anonymous posted an Question
February 13, 2022 • 09:00 am 150 points
  • IIT JAM
  • Mathematics (MA)

Which one of the following is true? (a) there are infinitely many one-one linear transformations from r' to r (b) the dimension of the vector space of all 3 x 3

Which one of the following is true? (a) There are infinitely many one-one linear transformations from R' to R (b) The dimension of the vector space of all 3 x 3 skew-symmetric matrices over the fiekd ofreal numbers 27. is 6 ()Let F be a field and Aa fixed mxn matrix over F. IfT: M,(F)M(F) is a linear transformation such that T(B) = AB for every Be M,(F), then the characteristic polynomial for A is the same as the characteristic polynomial fot T. (d) A two-dimensional vector space over a ficld with 2 elements has exactly 3 different basis. D.U. 2014

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