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Tyy posted an Question
May 25, 2021 • 01:50 am 30 points
  • IIT JAM
  • Mathematics (MA)

Given a 4x4 real matrix a let t:r>r be the linear transformation a defined by tv= av, where we think of r* as the set of real 4x1 matrices. for which choices of

Given a 4x4 real matrix A let T:R>R be the linear transformation A defined by Tv= Av, where we think of R* as the set of real 4x1 matrices. For which choices of A given below, do Image (T) and Image (72 have respective dimensions 2 and 1? (* denotes a nonzero entry) o 0 * = 0 ** (a.) A = 0 o 0 * 0 00 o * 01 0 0 (b.) A = 0 00 * 0 Lo 00 o 00 0 (c.) A = 00 0 0 00 0*| lo o 00 0 (d.) A = 0 o* 0 0 0 0 1ineaT explain answer

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