Change of basis¨/system of reference Watch

number23
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HI, I am on a year abroad so am struggling a bit with the maths, especially with this area
Here is a geometry questiion I need help with, if possible!

In R2 consider the systems of references:
R= {0, o + v1, o + v2}
R´= {o´, o´+v1+v2, o´+(v1-v2)}

{v1,v2} is a base of R2

a. Write the equations of changing the system of reference from R to R´

b Calculate thecoordinates of the point p=(1,0)_R in the system of reference R´



For part a, i think the transformation is a linear combiantion, like: R´=R+a[0, o´´, v1, v2]

and im not sure about b. i know (1,0)_R is (1,0)_R with respect to R but i dont understand what it means

would really appreciate help

cheers
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number23
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anyone?
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