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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the identity transformation?
💡 Hint: Think about what happens with a mirror.
Question 2
Easy
Describe the zero transformation.
💡 Hint: Consider what happens when everything collapses to a point.
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 does the identity transformation do?
- A. Maps to zero
- B. Keeps vectors unchanged
- C. Scales by a factor
💡 Hint: Think about what happens to a vector when it's unchanged.
Question 2
True or False: A zero transformation will map all vectors to a point.
- True
- False
💡 Hint: Consider what it means for everything to be one point.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A vector x = [2, 3] undergoes a rotation transformation by θ = 45 degrees. What are the new coordinates?
💡 Hint: Calculate the cosine and sine values for 45 degrees.
Question 2
If λ = -1 and x = [4, -2], apply a scaling transformation and state the new vector.
💡 Hint: Multiply each component by the scalar λ.
Challenge and get performance evaluation