Practice - Examples of Linear Transformations
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Practice Questions
Test your understanding with targeted questions
What is the identity transformation?
💡 Hint: Think about what happens with a mirror.
Describe the zero transformation.
💡 Hint: Consider what happens when everything collapses to a point.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the identity transformation do?
💡 Hint: Think about what happens to a vector when it's unchanged.
True or False: A zero transformation will map all vectors to a point.
💡 Hint: Consider what it means for everything to be one point.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
If λ = -1 and x = [4, -2], apply a scaling transformation and state the new vector.
💡 Hint: Multiply each component by the scalar λ.
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Reference links
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