Question

4) a) Describe what is meant when one says that a system is linear. Use mathematical...

4) a) Describe what is meant when one says that a system is linear. Use mathematical expressions to describe.

b) Describe what is meant when one says that a system is time invariant. Use mathematical expressions to describe.

c) Show that the following systems are non-linear:

i) y(t) = x(t) + 2

ii) y(t) = (x(t))^2

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A discrete time system can be i. Linear or non-linear ii. Time invariant or Time Variant...
A discrete time system can be i. Linear or non-linear ii. Time invariant or Time Variant iii. Causal or noncausal iv. Stable or unstable v. Static Vs Dynamic Examine the following systems with respect to every property mentioned above and give a brief explanation. a. y[n] = x[n]δ[n − 1] b. y[n] = x[n] + nu[n + 1] c. y(n) = x(2. n) d. y(n) = 3. x(n)
1. Give three linear systems and three non-linear system, and specify whether one is time variant...
1. Give three linear systems and three non-linear system, and specify whether one is time variant or time invariant.
Demonstrate step by step if the following system is: 1. Static or dynamic. 2. Linear or...
Demonstrate step by step if the following system is: 1. Static or dynamic. 2. Linear or non-linear. 3. Invariant or variant in time. 4. Causal or not causal. 5. Stable or unstable. y(n)=x(n)+nx(n-2)
the system y(t)=t^2*x(2t) linear and time invariant ? justify your answer
the system y(t)=t^2*x(2t) linear and time invariant ? justify your answer
Which of the following systems are dynamical? Stable? Causal? Time-invariant? Linear? 1. y(t) = 5x(t) 2....
Which of the following systems are dynamical? Stable? Causal? Time-invariant? Linear? 1. y(t) = 5x(t) 2. y(t) = x(t)^4 3. y(t) = x(t−1)^2 4. dy/dt = x(t) 5. dy/dt = y(t) + x(t) 6. dy/dt = −y(t) + x(t)^2 7. dy/dt = −y(t) + x(t + 4) 8. dy/dt = tx(t)
4. [10] Consider the system of linear equations x + y + z = 4 x...
4. [10] Consider the system of linear equations x + y + z = 4 x + y + 2z = 6 x + y + (b2 − 3)z = b + 2 where b is an unspecified real number. Determine, with justification, the values of b (if any) for which the system has (i) no solutions; (ii) a unique solution; (ii) infinitely many solutions.
1.28 Dectermine which of the properties listed in 1.27 hold and which do not hold for...
1.28 Dectermine which of the properties listed in 1.27 hold and which do not hold for each of the following discrite-time systems. Justify your answers. In each example, y[n] denotes the system output and x[n] is the system input. b) y[n] = x[n-2]-2x[n-8] c) y[n]=nx[n] system may or may not be: 1) Memoryless 2) Time invariant 3) Linear 4) causal
Consider the non linear system X dot = y + x(x^2 + y^2 - 1) *...
Consider the non linear system X dot = y + x(x^2 + y^2 - 1) * sin 1 /x^2 + y^2 - 1 Y dot = - x + y(x^2 + y^2 - 1) * sin 1/ x^2 + y^2 - 1 Without solving the above equations explicitly, show that the system has infinite number of limits cycles. Determine the stability of these limit cycles (Hint : Use polar coordinates)
1. What type of mathematical description can NOT refer to the linear regression model Select one...
1. What type of mathematical description can NOT refer to the linear regression model Select one or more: a. a linear equation b. a sytem of linear equations c. a collection of random variables d. a sytem of an equation and inequalities 2. Linear regression is the most complicated form of regression. Select one: True False 3. What type of regression is this? Fast and easy to model and is particularly useful when the relationship to be modeled is not...
Find the values of a and b for which the following system of linear equations is...
Find the values of a and b for which the following system of linear equations is (i) inconsistent; (ii) has a unique solution; (iii) has infinitely many solutions. For the case where the system has infinitely many solutions, write the general solution. x + y + z = a x + 2y ? z = 0 x + by + 3z = 2
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT