Question

If P is the plane of vectors in Rº satisfying
x + y + z-t=0,
then, what is the basis of P!
(A) {(1,1,1,1)
(B) {(1,-1,1,1)}
(C) {(1,1,-1,1)
(D) {(1,1,1,-1)}

Answer 1

Step-by-step explanation:

In this section we will show that a linear transformation between finite-dimensional vector spaces

is uniquely determined if we know its action on an ordered basis for the domain. We will also show

that every linear transformation between finite-dimensional vector spaces has a unique matrix ABC

with respect to the ordered bases B and C chosen for the domain and codomain, respectively.