Find the coordinate matrix of x relative to the orthonormal basis B in R. [x] = x = (2,-1,-4), B = - 5√ 10 10 -4 5√/10 10 X х х X √10 3√10 {(V10, 0, 3V/10), (0, 1, 0).(-3√/10, 0, VID)} 10

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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Find the coordinate matrix of x relative to the orthonormal basis B in R.
[x] =
x = (2,-1,-4),
-
5√/ 10
10
-4
5√ 10
10
√10
B =
{(V10, 0, 3V/10), (0, 1, 0).(-3√/10, 0, VID)}
10
X X
X
Transcribed Image Text:Find the coordinate matrix of x relative to the orthonormal basis B in R. [x] = x = (2,-1,-4), - 5√/ 10 10 -4 5√ 10 10 √10 B = {(V10, 0, 3V/10), (0, 1, 0).(-3√/10, 0, VID)} 10 X X X
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