Akash Babu posted an Question
September 30, 2022 • 23:44 pm 30 points
  • CSIR NET
  • Mathematical Sciences

8. let m,(r) denote the set of 2x2 real matrices. let a e m, (r) be of trace 2 and determinant -3. identifying m, (r) with r', consider the linear transformatio

8. Let M,(R) denote the set of 2x2 real matrices. Let A e M, (R) be of trace 2 and determinant -3. Identifying M, (R) with R', consider the linear transformation T: M, (R)->M, (R) defined by T(B) = AB. Then which of the following statements are true? (a) Tis diagonalizable b) 2 is an eigenvalues of T (c) Tis invertible d) T(B)- B for some 0 B in M, (R)

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