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 x₁(t) into a linear system and obtains y₁(t); then the output of the system when you later input a signal -4x1(t) will be -4y₁(t). (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?)

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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 x₁(t) into a linear system and obtains y₁(t); then the output of the system when
you later input a signal -4x1(t) will be -4y₁(t). (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?)
Transcribed Image Text: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 x₁(t) into a linear system and obtains y₁(t); then the output of the system when you later input a signal -4x1(t) will be -4y₁(t). (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?)
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