3. Let V = R3 and let B = (b1, b2, b3), where b₁ = 1 b₂ = 0 b3 = (a) Prove B is a basis of V over R. (b) For u = 2 find the column vector [u]B. 3 ዐ1 (c) For v = 02 find a formula for the column vector [v]B in terms of a1, a2, a3. 13
3. Let V = R3 and let B = (b1, b2, b3), where b₁ = 1 b₂ = 0 b3 = (a) Prove B is a basis of V over R. (b) For u = 2 find the column vector [u]B. 3 ዐ1 (c) For v = 02 find a formula for the column vector [v]B in terms of a1, a2, a3. 13
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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