Consider a discrete time system with the following input output relation y[n] = x[n]x[n – 2] a) Is the system memoryless? b) For any constant A, find the output of the system if the input is A8[n]

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For three points on the plane (x1, y1), (x2, y2) and (x3, y3) show that the
determinant of
| x1 y1 1 | 
| x2 y2 1 | 
| x3 y3 1 | 

is proportional to the area of the triangle whose corners are the three points. If these points lie on a straight line, what is the value of the determinant? Does this give a useful test to tell whether three points lie on a line? Why do you think so?

Consider a discrete time system with the following input output relation
y[n] = x[n]x[n – 2]
a) Is the system memoryless?
b) For any constant A, find the output of the system if the input is A8[n]
Transcribed Image Text:Consider a discrete time system with the following input output relation y[n] = x[n]x[n – 2] a) Is the system memoryless? b) For any constant A, find the output of the system if the input is A8[n]
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