Let B={b₁, b2, b3} be a basis for R³, where b; are as given below. If x is the vector given, find the B-coordinate vector of x. b₁ = [X]B= 3 0 b2 = 9 -1 b3 = = X = - 18 -8

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let B={b₁,b2, b3} be a basis for R³, where b; are as given below. If x is the vector given, find the
B-coordinate vector of x.
b₁
=
3
0
[X]B = 0
0
b2
-1 b3
0
X =
- 18
8
-8
Transcribed Image Text:Let B={b₁,b2, b3} be a basis for R³, where b; are as given below. If x is the vector given, find the B-coordinate vector of x. b₁ = 3 0 [X]B = 0 0 b2 -1 b3 0 X = - 18 8 -8
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