The matrix A is a matrix of a linear transformation T Rk ri

The matrix A = is a matrix of a linear transformation T: R^k right arrow R^n Find k and n. k = ,n = , Find the dimension of the kernel (or null space) and range (or image). dim(Ker(T)) = ,dim(Range(T)) = Is T onto? Is T one - to - one?

Solution

a) K=4, n=3

b)dim(ker(T))=1; Dim(range(T))=2

c)No, it is not onto;

d)No, it is not one-to-one.