Let B b 1 , ,b n be a basis for R n 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 R 2 into R 2 , this mapping must be implemented by some 2 2 matrix A Find it B 3 1 2 7

Question: Let B = {b 1 ,...,b n } be a basis for R n . Produce a description of an n x n matrix A

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

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.

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

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