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  1. A certain linear time invariant system has the state and the output equations given below
    x1
    =
    1
    -1
    x1
    +
    0
    u
    x201x21

    y = [1 1]
    x1
    x2

    If X1(0) = 1,
    X2(0) = – 1,
    u (0) = 0
    then | dy/dt |t = 0 is—
    1. 1
    2. – 1
    3. 0
    4. None of these
Correct Option: C

From given data y = x1 + x2
y |t = 0 = 1 – 1
or
y |t = 0 = 0
or dy/dx| t = 0 = 0



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