Suppose we wish to find the coordinate vector of w = relative to the orthonormal basis S = { 2 2/3 1/3 2/3 23 23 13 -5 5 1323 23 , 1. What is the "right" way to compute these coordinates? O Compute dot products with basis vectors Solve a system of equations for coefficients of basis vectors Invert the matrix formed by the basis vectors 2. And what is (w)s =

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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Suppose we wish to find the coordinate vector of w =
relative to the orthonormal basis S = {
2
2/3 1/3 2/3
23
23
13
-5
5 1323 23
,
1. What is the "right" way to compute these coordinates?
O Compute dot products with basis vectors
Solve a system of equations for coefficients of basis vectors
Invert the matrix formed by the basis vectors
2. And what is
(w)s =
Transcribed Image Text:Suppose we wish to find the coordinate vector of w = relative to the orthonormal basis S = { 2 2/3 1/3 2/3 23 23 13 -5 5 1323 23 , 1. What is the "right" way to compute these coordinates? O Compute dot products with basis vectors Solve a system of equations for coefficients of basis vectors Invert the matrix formed by the basis vectors 2. And what is (w)s =
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