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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define eigenvalue.
💡 Hint: Think about the equation involving a matrix and a vector.
Question 2
Easy
What is an eigenvector?
💡 Hint: Focus on the relationship between the vector and the matrix.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the eigenvalue of a matrix?
- A moment of a vector
- A measure of structure's stiffness
- A scalar associated with a matrix transformation
💡 Hint: Focus on the transformation equation.
Question 2
True or False: An eigenvector can be the zero vector.
- True
- False
💡 Hint: Think about the definition of eigenvectors.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given matrix A = [[4, 2], [1, 3]], compute the eigenvalues and eigenvectors.
💡 Hint: Don't forget to substitute each λ back to find eigenvectors.
Question 2
Discuss the implications of geometric multiplicity in real-world structures.
💡 Hint: Link it to how stresses distribute in materials.
Challenge and get performance evaluation