(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let B be a basis of R^2 consisting of the vectors <5,2> and <1,5> and let R be the basis consisting of <2,3> and <1,2>

Find a matrix P such that [x]_r=P[x]_b for all x in R^2

2. Relevant equations

Ax=B?

3. The attempt at a solution

I attempted by using Ax=B as a format to solve for P, or x in the equation. I took the inverse of the column matrix of B because B is a basis, and if I am correct, a matrix's basis is defined as its coordinates ([x]_b).

I understand the geometrical interpretation of a linear transformation, yet I have no idea how to represent the transformation as a matrix. I would love an in depth description to approach similar exercises.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear Transformations and Coordinate

**Physics Forums | Science Articles, Homework Help, Discussion**