# Math Help - L.T problem.....

1. ## L.T problem.....

Q:let T from R^3 to R^3 be a linear transformation and I be identity transformation of R^3.If there is a scalar c and a non zero vector x belongs to R^3 s.t T(x)=cx, then rank(T-cI)
A)can'tbe 0
B)can't be 1
C)can't be 2
D)can't be 3

2. Originally Posted by Mathventure

Q:let T from R^3 to R^3 be a linear transformation and I be identity transformation of R^3.If there is a scalar c and a non zero vector x belongs to R^3 s.t T(x)=cx, then rank(T-cI)

A) can'tbe 0

B) can't be 1

C) can't be 2

D) can't be 3
D) is the answer. (the rank-nullity theorem)