Show the following: (a) The vector (7) spans R'. (b) The vectors (1,2), (–2, 1) span R?. (c) The vectors (1,1, 0), (1, 2, 3), (2, 1, – 1) span R°.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 6E
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Linear Combinations, Spans, and Independence.
(1) Show the following:
(a) The vector (7) spans R'.
(b) The vectors (1,2), (-2, 1) span R².
(c) The vectors (1,1, 0), (1,2, 3), (2, 1, – 1) span R.
Transcribed Image Text:Linear Combinations, Spans, and Independence. (1) Show the following: (a) The vector (7) spans R'. (b) The vectors (1,2), (-2, 1) span R². (c) The vectors (1,1, 0), (1,2, 3), (2, 1, – 1) span R.
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