can any1 give an example of a distinct linear transsformation T and U such that N(T) = N(U) and R(T) = R(U)
Follow Math Help Forum on Facebook and Google+
Originally Posted by ruprotein can any1 give an example of a distinct linear transsformation T and U such that N(T) = N(U) and R(T) = R(U) What does N(T) and R(T) mean?
N(T) and R(T) are subspaces of V and W respectively. sorry about that...
Originally Posted by ruprotein N(T) and R(T) are subspaces of V and W respectively. sorry about that... V and W are? Maybe you should write the entire problem.
vecto spaces... i did
Are T and U linear transformations from V to W is N(T) the null space of T is R(T) the range of T ?
yeah sorry i thoguth the book was universal witht he symbols, yeah thats what R(t) and N(T) STAND For
let V,U=R^2 let T:R^2->R^2 be given by T(v)=A*v where A= [1 0 0 1] let U:R^2->R^2 be given by U(v)=B*v where B= [1 1 0 1]
View Tag Cloud