§3. (10 p) Let T : R3 → R3 be a linear map such that T(< 1,1,1 >) =< 2, 0, 1 >, T(< 0, −1, 2 >) =< −3, 2, 1 >, T(< 1,0,1 >) =< 1, 1,0 > . Compute T(< 1, −3,0 >).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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§3. (10 p) Let T : R3
→ R3 be a linear map such that
T(< 1,1,1 >) =< 2, 0, 1 >, T(< 0, −1, 2 >) =< −3, 2, 1 >, T(< 1,0,1 >) =< 1, 1,0 > .
Compute T(< 1, −3,0 >).
Transcribed Image Text:§3. (10 p) Let T : R3 → R3 be a linear map such that T(< 1,1,1 >) =< 2, 0, 1 >, T(< 0, −1, 2 >) =< −3, 2, 1 >, T(< 1,0,1 >) =< 1, 1,0 > . Compute T(< 1, −3,0 >).
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