2 A. Given vectors a1 = , a2 determine the components of the vector -3 2а1 + За2 — 5аз- [1 21

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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A only
3
2
1
A. Given vectors a1 =
-1
, a2 =
determine the components of the vector
az =
-3
4
2а1 + За2 — 5аҙ.
2
B. Let ui =
1
and u2 =
1
a. Calculate the linear combination of u1 and u2 with corresponding weights (scalar multiples)
1 and 2. The resulting vector is a vector which can be written as a linear combination of
uj and u2.
b. Can vị =
be written as a linear combination of uj and u2? If so, which linear
4
combination? If not, explain why not.
Transcribed Image Text:3 2 1 A. Given vectors a1 = -1 , a2 = determine the components of the vector az = -3 4 2а1 + За2 — 5аҙ. 2 B. Let ui = 1 and u2 = 1 a. Calculate the linear combination of u1 and u2 with corresponding weights (scalar multiples) 1 and 2. The resulting vector is a vector which can be written as a linear combination of uj and u2. b. Can vị = be written as a linear combination of uj and u2? If so, which linear 4 combination? If not, explain why not.
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