26.16 - Dual Spaces
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Practice Questions
Test your understanding with targeted questions
Define a dual space in your own words.
💡 Hint: Think about what functionals do with vectors.
What is a linear functional?
💡 Hint: Look for definitions in your notes.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the relationship between the dual space and the original vector space's dimension?
💡 Hint: Think about the definition of duality.
A linear functional maps vectors to numbers. True or False?
💡 Hint: Reflect on the meaning of functionals.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Define linear functionals for specific vector spaces of dimensions 3 and 4, and demonstrate how they relate via duality.
💡 Hint: Check if adding vectors and scaling works.
Illustrate the usage of dual spaces in virtual work within a mechanical system.
💡 Hint: Consider the role of energies in virtual work principles.
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