Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define what an eigenvalue is.
💡 Hint: Think about the equation Av = λv.
Question 2
Easy
What is the first step in finding eigenvalues?
💡 Hint: You will need the identity 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 characteristic equation used to find eigenvalues?
- det(A + λI) = 0
- det(A - λI) = 0
- det(A - I) = 0
💡 Hint: Check how we form the matrix with λ and the identity.
Question 2
Eigenvalues can be complex numbers.
- True
- False
💡 Hint: Think about transformations in two-dimensional spaces.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a matrix B = [[1, 2], [2, 1]], calculate its eigenvalues and explain their significance.
💡 Hint: Remember to compute the determinant and find the roots.
Question 2
Consider the matrix C = [[0, 2], [-1, 0]]. Find the eigenvalues and describe what they indicate about the system.
💡 Hint: Use the characteristic equation to analyze the matrix.
Challenge and get performance evaluation