3. Let V be the solution space of the system X1 + x2 + x3 + x₁ = 0 2x1 + 3x2 + 3x3 + x₁ = 0 (11, 11, 0, 22). Find a basis for V, then find the orthogonal projection of b into V. and b =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...
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3. Let V be the solution space of the system
x1 + x2 + x3 + x^ = 0
2x1 + 3x2 +3x3 + x₁ = 0
(11, 11, 0, 22). Find a basis for V, then find the orthogonal projection of b into V.
and b =
Transcribed Image Text:3. Let V be the solution space of the system x1 + x2 + x3 + x^ = 0 2x1 + 3x2 +3x3 + x₁ = 0 (11, 11, 0, 22). Find a basis for V, then find the orthogonal projection of b into V. and b =
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