Answered: -20 []. 40 find an orthogonal basis… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 11E

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20
-{------}
= 10
40
find an orthogonal basis under the Euclidean inner product.
Let
=
Orthogonal basis:
a = Ex: 1.23
Check
Additional exercises
-21
-------B).
V1 = 3 , V2 =
, V3
40
0
b= Ex: 1.23€
Next
4
2
2
be a basis for R³. Use the Gram-Schmidt process to
c = Ex: 1.23 C
a
b
EXERCISE 7.4.1: Orthogonal bases.
Determine if each statement is true or false. Justify each answer or provide a counterexample when appropriate.
(a) The orthonormality of a set of vectors can depend on the inner product being used
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