y+2 (O)-(). = + 2 y+x (-)-( (b) Consider the linear map T: R³ R³ such that Ty i. State the matrix of T in standard basis B of R³. ii. Determine the matrix of T in the basis C = You may assume without proof that C forms a basis. 2 2 of R³.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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y+2
(O)-()
x +
(-)-(
(b) Consider the linear map T: R³ R³ such that Ty
i. State the matrix of T in standard basis B of R³.
ii. Determine the matrix of T in the basis C =
You may assume without proof that C forms a basis.
2
2
of R³.
Transcribed Image Text:y+2 (O)-() x + (-)-( (b) Consider the linear map T: R³ R³ such that Ty i. State the matrix of T in standard basis B of R³. ii. Determine the matrix of T in the basis C = You may assume without proof that C forms a basis. 2 2 of R³.
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