"Let T(x) =Ax. Find bases for ker(T) and range(T) . Show how you determine these sets. [[1,1,-2],[-2,-2,4],[5,5,-10]] Find the complete (general) solution to the linear system. Writeyour answer in par"
a) ker(T) ={(1,1,1) }, range(T) ={(1,1,1) },General solution:x=(1,1,1)
b) ker(T) ={(1,1,1) }, range(T) ={(0,0,0) },General solution:x=(0,0,0)
c) ker(T) ={(0,0,0) }, range(T) ={(1,1,1) },General solution:x=(1,1,1)
d) ker(T) ={(0,0,0) }, range(T) ={(1,1,1) },General solution:x=(0,0,0)