R be given by v->av for a fixed aeR,o#0. Let T:R\" ->R\" be a linear transformation such that B=(),.,v,) is a set of linearly independent eigenvector of T. Then"> r be given by v->av for a fixed aer,o#0. let t:r\" ->r\" be">

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Thanu Dharshani posted an Question
August 11, 2021 • 19:32 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Example : 5 let s: r">r be given by v->av for a fixed aer,o#0. let t:r" ->r" be a linear transformation such that b=(),.,v,) is a set of linearly independent ei

Example : 5 Let S: R">R be given by v->av for a fixed aeR,o#0. Let T:R" ->R" be a linear transformation such that B=(),.,v,) is a set of linearly independent eigenvector of T. Then (a) The matrix of T with respect to B* is diagonal. b)The matrix ofT-Swith respect to B* is diagonal. (c) The matrix of T with respect to B* is not necessarily diagonal, but upper triangular (d) The matrix of T with respect to B* is diagonal but the matrix of (T- S) with respect to B" 1s not diagonal. (CSIPNET 201a

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