Q.21 let c([0, 1)) be the real vector space of all continuous real valued functions on [0, 1, and let tbe the linear operator on c([0, 1|) given by (tsr) = sin(

Q.21 Let C([0, 1)) be the real vector space of all continuous real valued functions on [0, 1, and let Tbe the linear operator on C([0, 1|) given by (TSr) = sin(r + u)f(u) dy, z E [0,1 Then the dimension of the range space of T equals.