[2]- and b -G] such that 7(6₁)=56, +46, and 7(b) = 36, +56₂ Let b₁ == B= The set 2 (a) The 28-matrix of T (in other words, the matrix of T relative to the basis B) is 5 is a basis for R². Let T: R² R² be a linear transformation A= (b) The standard matrix of 7 (n other words, the matrix of T relative to the standard basis for R²) is You have answered these types of questions (in b) before. Can you now use coordinates and the A-SBS-1 framework? Which technique do you prefer?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 25EQ
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[2]
such that 7(6₁)=56, +46, and 7(6₂)=35, +56₂.
Let ==
B=
and ba
=
(a) The 28-matrix of T (in other words, the matrix of T relative to the basis 33) is
5
3
A=
The set = {1,5} is a basis for R². Let T: R2 R² be a linear transformation
→
5
(b) The standard matrix of 7 (in other words, the matrix of T relative to the standard basis for R²) is
-1
You have answered these types of questions (in b) before. Can you now use coordinates and the A-SBS-¹ framework?
Which technique do you prefer?
Transcribed Image Text:[2] such that 7(6₁)=56, +46, and 7(6₂)=35, +56₂. Let == B= and ba = (a) The 28-matrix of T (in other words, the matrix of T relative to the basis 33) is 5 3 A= The set = {1,5} is a basis for R². Let T: R2 R² be a linear transformation → 5 (b) The standard matrix of 7 (in other words, the matrix of T relative to the standard basis for R²) is -1 You have answered these types of questions (in b) before. Can you now use coordinates and the A-SBS-¹ framework? Which technique do you prefer?
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