27. which one of the folowing is true? (a) there are infinitely many one-one lnear transforinations from r" to r (6) the dnension of the vector space of all 3 x

27. Which one of the folowing is true? (a) There are infinitely many one-one lnear transforinations from R" to R (6) The dnension of the vector space of all 3 x 3 skew-symmetric matrices over the fiekd of real numbers ()Let F be a field and Aa fixed nxn matrix over E. IfT: M,(F) M,(F) isa linear transformation Such that T6) AB for every BE M,(P, then the characterstic polynomial for A is the same as the characteristic polynomial lor T. (d) A two-dimensional vector space over a field,with 2 ekements has exactly 3 different basis. D.U. 2014