5 (а) Show that if we think of C as a vector space over R, then the list (1+ i,1 – i) is linearly independent. (b) Show that if we think of C as a vector space over C, then the list (1+ i,1 – i) is linearly dependent. |

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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5 (а)
Show that if we think of C as a vector space over R, then the list
(1+ i,1 – i) is linearly independent.
(b)
Show that if we think of C as a vector space over C, then the list
(1+ i,1 – i) is linearly dependent.
|
Transcribed Image Text:5 (а) Show that if we think of C as a vector space over R, then the list (1+ i,1 – i) is linearly independent. (b) Show that if we think of C as a vector space over C, then the list (1+ i,1 – i) is linearly dependent. |
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