Example: 1 let t: r>r be a linear transformation and i be the identity transformation of r'. if there is a scalar c and a non-zero vector xe r such that t(x) =

Example: 1 Let T: R>R be a linear transformation and I be the identity transformation of R'. If there is a scalar c and a non-zero vector xe R such that T(x) = cx, then rank (T- c) (a) cannot be 0 (C) cannot be 2 (6) cannot be 1 (d) cannot be 3 (JAM MA 2005)