For u, v, and w given in Exercises 1-3, calculate u 2v, u (2v- 3w), and -2u - v + 3w. 1. In the vector space of (2 × 3) matrices u= W 2]. 213 -1 1 2 -5 11 -1 4 -13-1 - *-=[124] 5 7 2. In the vector space P2 u=x²-2, v = x² + 2x-1, w = 2x + 1.

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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For u, v, and w given in Exercises 1-3, calculate u –
2v, u (2v 3w), and -2u - v + 3w.
1. In the vector space of (2 x 3) matrices
2 1
1
4
-
+[38] [89]
1
5
12
2
-
7
4 -5 11
-13 -1 −1
-
u=
W =
2. In the vector space P2
V
u=x²-2, v = x² + 2x - 1,
W = 2x + 1.
Transcribed Image Text:For u, v, and w given in Exercises 1-3, calculate u – 2v, u (2v 3w), and -2u - v + 3w. 1. In the vector space of (2 x 3) matrices 2 1 1 4 - +[38] [89] 1 5 12 2 - 7 4 -5 11 -13 -1 −1 - u= W = 2. In the vector space P2 V u=x²-2, v = x² + 2x - 1, W = 2x + 1.
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