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(10) Find the Taylor series centered at a = 1 for the function f(x) = em. (A) (2 – 1)" (D) 3.0 (0 - 1)" n=0 (E) None of the above.
5. (a) Define what it means for a linear transformation T:R" R" to be invertible. 2 marks + 3. C) LAT:2 = bo aliwas nabornia sud done (CD) - \ -- (EU) - 1 -(- [47] 5. (b) Let T: R3 R3 be a linear transformation such that T , and T Find a matrix A such that T(x) = Ax for every x ER. [4 marks] 5. (c) Let T be the linear transformation in part (b). Determine all values of c such that T invertible. (4 marks
2. Find the determinant of N (10 marks]: N [ 1 -2 0 0 0 3 = -2 1 6 -2 4 1 10 2 3 1 0 4 -1 0 4 0 0 -6 -2