00:01
In this question we have to determine whether the system is linear or not.
00:07
The a part yt is equal to a multiplied by ut minus 1.
00:15
To check the system if it is linear or not, we will write y1t is equal to x1t multiplied by ut minus 1 and y2t is equal to xt multiplied by ut minus 1.
00:44
Consider this as equation 1 and this as equation 2.
00:48
Adding equation number 1 and 2, we will get y1t plus y2t is equal to x1t plus x2t and this multiplied by.
01:17
Now apply the input as x1t plus x2t.
01:23
That is x1t plus x2t.
01:30
We will get yt is equal to x1t plus x2t multiplied by ut minus 1.
01:43
So, let this be equation number 3 and this is equation number 4.
01:58
So, since equation number 3 is equal to equation number 4, we can sum the response of the two different inputs x1 and x2 and it is equal to the response of the system when both the inputs were applied together.
02:13
So, we can say that the given system is linear...