- #1
vooor
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Homework Statement
Homework Equations
can someone help me to solve this problem?
The Attempt at a Solution
I couldn't even approach
Finding orthonormal basis for the intersection of the subspaces
- Thread starter vooor
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SUMMARY
This discussion focuses on finding an orthonormal basis for the intersection of two subspaces in linear algebra. Participants emphasize the necessity of understanding the concept of a basis and the requirement that the basis must satisfy both subspaces. The conversation highlights the importance of using techniques such as the Gram-Schmidt process to derive an orthonormal basis from a given basis of the intersection.
PREREQUISITES- Understanding of linear algebra concepts, specifically subspaces and bases.
- Familiarity with the Gram-Schmidt process for orthonormalization.
- Knowledge of vector spaces and their properties.
- Ability to perform matrix operations and manipulations.
- Study the Gram-Schmidt process for creating orthonormal bases.
- Explore the concept of vector space intersections in linear algebra.
- Learn about the properties of orthonormal sets in Euclidean spaces.
- Practice problems involving finding bases for subspaces and their intersections.
Students and educators in mathematics, particularly those studying linear algebra, as well as professionals in fields requiring advanced mathematical modeling and analysis.
can someone help me to solve this problem?
I couldn't even approach
- #2
Char. Limit
Gold Member
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Well, you know what a basis is. Because you're looking for one for the intersection of the two subspaces, you know that whatever basis you find has to fit BOTH. So how would you find an orthonormal basis for one of them?
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