Math Chapter Wise question with answer

Q01 Let {an} and {bn} be sequences of real numbers defined as a1 = 1 and for n ≥ 1, () − − − n n n+1 n n+1 n n n 2a a a... English · Haryana PGT 2018 Q02 Which of the following maps are linear transformations? 1. T: R2 → →R defined by T(x, y) = 2x 3y 2. T: R2 → →R defi... English · OPSC PGT 2017 Q03 The eigenvalues for 3 3 T: R R defined by T(x,y,z) (3x y 4z,2y 6z,5z)are: English · OPSC PGT 2017 Q04 A real valued function defined on a measurable space is called a simple function if: English · OPSC PGT 2017 Q05 The rank of 2 3 T: R R, defined as T(x,y) (x y,x y,y), is: English · OPSC PGT 2017 Q06 If n n 1 u u 0 + ≥ for all n, then for the convergence of the series n n 1 u ∞ = ∑ ∑ the condition n lim nu 0 →∞ =... English · UP PCS (Pre) 1998