Sudhanshu Kumar posted an Question
November 25, 2021 • 16:54 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let t: r* > rs be the linear transformation whose matrix with respect to the standard b basis of r3 is -a 0 c,where a, b, c real o a -b -c 0 numbers are not all

Let T: R* > RS be the linear transformation whose matrix with respect to the standard b basis of R3 is -a 0 c,where a, b, c real O a -b -c 0 numbers are not all zero. Then T (a) Is one-to-one (b) Is ontoo (c) Does not map any line through the origin onto itself (d) Has rank 1

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