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Vijay posted an Question
July 19, 2022 • 12:22 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Q.40 let p be a fixed 3 x 3 matrix with entries in r. which of the following maps from mg(r) to m,(r) is/are lincar? (a) m, (r) » m, (r) given by 7,0m) = mp - p

Q.40 Let P be a fixed 3 x 3 matrix with entries in R. Which of the following maps from Mg(R) to M,(R) is/are lincar? (A) M, (R) » M, (R) given by 7,0M) = MP - PM for M E M, (R) (8)T: M, (R) - M,(R) given by Tz(M) = M*P --P"M for M EM,(B) T: M (R) - M,(R) given by T, (M) - MP PM for MEM(). ()T:MR) M,(R) 8iven by T, () -MP- PM for M E M,(R)

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