3.2 - Concatenation (Composition)
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Practice Questions
Test your understanding with targeted questions
What is the matrix representation of a point in 2D?
💡 Hint: Think of how we represent coordinates in a plane.
Name a type of transformation that alters the size of an object.
💡 Hint: Consider transformations related to measurements.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the matrix representation of a point in 3D?
💡 Hint: Remember how we extend 2D to 3D.
True or False: The order of matrix multiplication for transformations does not matter.
💡 Hint: Consider how different orders affect the result.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Consider a point P(2, 3) being translated by T(4, 5) and then rotated by 90 degrees. What is the final position of P?
💡 Hint: Remember the order of operations when transforming points.
If a scaling transformation enlarges an object by a factor of 3 and a translation shifts it right by 5, what would be the transformation matrix for this combined process?
💡 Hint: Consider how to multiply matrices to combine transformations.
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