Practice - Linearity
Practice Questions
Test your understanding with targeted questions
What does homogeneity indicate in LTI systems?
💡 Hint: Think about how doubling an input affects output.
Define additivity in the context of LTI systems.
💡 Hint: Consider how two different inputs would combine.
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Interactive Quizzes
Quick quizzes to reinforce your learning
True or False: In a linear system, if you double the input, you double the output.
💡 Hint: Recall the scaling property.
What does the additivity property state?
💡 Hint: Think about how inputs are combined.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that if a system is linear, then it must satisfy both homogeneity and additivity. Provide a thorough mathematical proof.
💡 Hint: Follow through definitions of homogeneity and additivity with sample inputs.
Consider a nonlinear system where the output is squared output of the input. Show whether it can be characterized as an LTI system.
💡 Hint: Think about how outputs change with scaling inputs.
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Reference links
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