Q7) TRUE or FALSE: a) A system is \"linear\" whenever its output y(t-A x(t) + B
ID: 2268175 • Letter: Q
Question
Q7) TRUE or FALSE: a) A system is "linear" whenever its output y(t-A x(t) + B for some constants A and B.(TRUE or FALSE?) b) If you input a signal x:(t) into a linear system and obtains y(t); then the output of the system when you later input a signal-4xi(t) will be 4yt).(TRUE or FALSE?) c) A system is called "time invariant" if its output y(t) does not change over time; i.e. y(t) equals a constant.(TRUE or FALSE? d) The output of an LTI system can be written as the sum of 3 responses: the zero-input response, the zero-state response, and the zero-output response. (TRUE or FALSE?) e) Each LTI can sustain certain forms of responses on its own, without an external input, and these are called the characteristic modes of the system. (TRUE or FALSE?)Explanation / Answer
1 False , It is nonlinear because of constant B
2 True , linear system means it should follow additivity and homogeneity principle
3 True , It is time invariant system if it is not changing with time
4 False ,It is sum of zero input and zero state response
5 True , characteristic or impulse response
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