Teaching DSSSB TGT Mock Test 2025 Mathematical Science Analysis Matrix Representation of Linear Transformations
Let V be the space of twice differentiable functions on ℝ satisfying f " - 2f' + f = 0. Define T: V → ℝ2 by T(f) = (f '(0), f (0)). Then T is
1
one-to-one and onto
2
one-to-one but not onto
3
onto but not one-to-one
4
neither one-to-one nor onto