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The output of a continuous-time, linear time-invariant system is represented by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)} = Y z(t) , where Y is a complex number, in general, and is called an eigen-value of T. Assume the impulse response of the system T is real and even. Then which of the following statements is TRUE?a)cos(t) is an Eigen-signal but sin(t) is notb)cos(t) and sin(t) are both Eigen-signals but with different eigenvaluesc)sin(t) is an Eigen-signal but cos(t) is notd)cos(t) and sin(t) are both Eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The output of a continuous-time, linear time-invariant system is represented by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)} = Y z(t) , where Y is a complex number, in general, and is called an eigen-value of T. Assume the impulse response of the system T is real and even. Then which of the following statements is TRUE?a)cos(t) is an Eigen-signal but sin(t) is notb)cos(t) and sin(t) are both Eigen-signals but with different eigenvaluesc)sin(t) is an Eigen-signal but cos(t) is notd)cos(t) and sin(t) are both Eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The output of a continuous-time, linear time-invariant system is represented by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)} = Y z(t) , where Y is a complex number, in general, and is called an eigen-value of T. Assume the impulse response of the system T is real and even. Then which of the following statements is TRUE?a)cos(t) is an Eigen-signal but sin(t) is notb)cos(t) and sin(t) are both Eigen-signals but with different eigenvaluesc)sin(t) is an Eigen-signal but cos(t) is notd)cos(t) and sin(t) are both Eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer?.

Solutions for The output of a continuous-time, linear time-invariant system is represented by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)} = Y z(t) , where Y is a complex number, in general, and is called an eigen-value of T. Assume the impulse response of the system T is real and even. Then which of the following statements is TRUE?a)cos(t) is an Eigen-signal but sin(t) is notb)cos(t) and sin(t) are both Eigen-signals but with different eigenvaluesc)sin(t) is an Eigen-signal but cos(t) is notd)cos(t) and sin(t) are both Eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.

Here you can find the meaning of The output of a continuous-time, linear time-invariant system is represented by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)} = Y z(t) , where Y is a complex number, in general, and is called an eigen-value of T. Assume the impulse response of the system T is real and even. Then which of the following statements is TRUE?a)cos(t) is an Eigen-signal but sin(t) is notb)cos(t) and sin(t) are both Eigen-signals but with different eigenvaluesc)sin(t) is an Eigen-signal but cos(t) is notd)cos(t) and sin(t) are both Eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The output of a continuous-time, linear time-invariant system is represented by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)} = Y z(t) , where Y is a complex number, in general, and is called an eigen-value of T. Assume the impulse response of the system T is real and even. Then which of the following statements is TRUE?a)cos(t) is an Eigen-signal but sin(t) is notb)cos(t) and sin(t) are both Eigen-signals but with different eigenvaluesc)sin(t) is an Eigen-signal but cos(t) is notd)cos(t) and sin(t) are both Eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The output of a continuous-time, linear time-invariant system is represented by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)} = Y z(t) , where Y is a complex number, in general, and is called an eigen-value of T. Assume the impulse response of the system T is real and even. Then which of the following statements is TRUE?a)cos(t) is an Eigen-signal but sin(t) is notb)cos(t) and sin(t) are both Eigen-signals but with different eigenvaluesc)sin(t) is an Eigen-signal but cos(t) is notd)cos(t) and sin(t) are both Eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The output of a continuous-time, linear time-invariant system is represented by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)} = Y z(t) , where Y is a complex number, in general, and is called an eigen-value of T. Assume the impulse response of the system T is real and even. Then which of the following statements is TRUE?a)cos(t) is an Eigen-signal but sin(t) is notb)cos(t) and sin(t) are both Eigen-signals but with different eigenvaluesc)sin(t) is an Eigen-signal but cos(t) is notd)cos(t) and sin(t) are both Eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The output of a continuous-time, linear time-invariant system is represented by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)} = Y z(t) , where Y is a complex number, in general, and is called an eigen-value of T. Assume the impulse response of the system T is real and even. Then which of the following statements is TRUE?a)cos(t) is an Eigen-signal but sin(t) is notb)cos(t) and sin(t) are both Eigen-signals but with different eigenvaluesc)sin(t) is an Eigen-signal but cos(t) is notd)cos(t) and sin(t) are both Eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.