Could someone give me an example of this please Given two ba

Could someone give me an example of this please?

Given two bases for B and B\' for R^2:
      Determine the representation of w in the standard basis.

Solution

Let, B be standard basis

B={(1,0),(0,1)}

Let, B\' be the basis

B\'={(1,0),(1,1)}

(1,1)-(1,0)=(0,1)

HEnce standard basis vectors lie in span(B\')

Hence, B\' is a basis

What is w/?