Let B = {b₁,...,b_n} be a basis for Rⁿ. Produce a description of an n x n matrix A that implements the coordinate mapping x ↦ [x]_B. (See Exercise 25.)

Data from in Exercise 25

Let

Since the coordinate mapping determined by B is a linear transformation from R² into R², this mapping must be implemented by some 2 × 2 matrix A. Find it.

Transcribed Image Text:

B = -3 {-1] []} -2 7