W = y:x = t, y = -t, z = 3t
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.3: Complex Numbers
Problem 21E: Find the values of x and y. 3x-2yi=2+x+yi
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Question
Find the orthogonal complement W⊥ of W and give a basis for W ⊥
Transcribed Image Text:W =
y:x = t, y = -t, z = 3t
Expert Solution
Step 1
If W is a subspace of a vector space V then, the orthogonal complement of W is the subspace
given by .
Here, is called the inner product of the vectors x and w. means that the dot
product of the vectors x and w is 0.
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