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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does homogeneity indicate in LTI systems?
💡 Hint: Think about how doubling an input affects output.
Question 2
Easy
Define additivity in the context of LTI systems.
💡 Hint: Consider how two different inputs would combine.
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
True or False: In a linear system, if you double the input, you double the output.
- True
- False
💡 Hint: Recall the scaling property.
Question 2
What does the additivity property state?
💡 Hint: Think about how inputs are combined.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation