This problem is due tomorrow, i need help.
Letting T: R^4 -> R^3, where T(v)=Av.
Matrix A: 2, 1, -1, 1
1, 2, 0, 5
4, -1, -1, 0
note: this is a 3x4 matrix.
Find: Kernel(T), Nullity(T), Range(T), Rank of T, Rank of matrix A.
Some things I know about this problem:
Ker(T) = Null(A).
The 3rd row of the matrix has to all be zeros.
The problem I am having most is, reducing matrix A into its reduced form or whatever it's called.