** a) absolute function is not linear
b) shifting is linear function
• Problem 2 (15 % of the total mark) For each of the following systems, determine...
Signal system question. EEGR 221 Signals and Systems Homework 3 Determine whether the following systems are (i) Memoryless (ii) Invertible (ii) Casual (iv) Stable (v) Time invariant (vi) Linear (a) y(t)-5x(2t +4) (b) y(t)-7 x(2t 1) +3 (c) y(t)e4x(c) (d) y(t)-sin (x(t + 1)) (e) y(t) x(t)l (1) y() log(x(t)) Your answer must have 3 components for each property 1) Definition of the property 2) Yes or NO 3) Justification and the test that you have done to give the...
determine whether 20 total pts] For each of the following systems described by their input-output behavior, or not the system is (1) linear,(2) time-invariant, (3) causal. For each case, make sure that you explain why. a. (5 pts] y[n] Axn] +B where A and B are nonzero constants d. 5 pts] y[n] x[n cos(0.25n)
Linear Algebra 1) For each of the following linear systems of equations I. 2x, x 3 x,-4x2 = 4 3x, +2x-5 2x, + 3x2-6x3 x 3x2 + 2x 2 -x,-4x2 + 6x3 =-1 III. 5x1 + 7x2=-5 8x1-5x2 = 3 IV, 2 a. Identify corresponding linear algebra nomenclature (4x -b) b. Calculate the inverse of the coefficient matrix (4) for each system Calculate each by hand and check your results with an alternate hand calculation or alternatively through an suitable...
For each of the following systems, determine which of the above properties hold. 5. General properties of systems. A system may or may not be: (a) Memoryless (b) Time Invariant (c) Linear (d) Causal (e) Stable For each of the following systems, determine which of the above properties hold. (a) y(t)sin(2t)x(t) { 0, x(t)2t 3) t20 t <0 (b) y(t) = (c) yn3[n ] -n-5] x[n], 0, n 1 (d) yn 0 n= n2, n< -1 5. General properties of...
2.14 Determine if the following DT systems are invertible. If yes, find the inverse systems (i) y[k](k 1)x [k 2]; : - |k x [m 2] (ii) y[k] m=0 S[k 2m] (iii) y[k]xk] m=-00 (iv) y[k]xk +2]2x[k1]- 6x[k]2x[k - 11xk - 2] (v) yk]2y[k 11yk 2]x [k]. 2.14 Determine if the following DT systems are invertible. If yes, find the inverse systems (i) y[k](k 1)x [k 2]; : - |k x [m 2] (ii) y[k] m=0 S[k 2m] (iii) y[k]xk]...
1. For each of the following systems, (i) determine all critical points, (ii) determine the corresponding linear system near each critical point, and (ii) determine the eigenvalues of each linear system and the corresponding conclusion that can be inferred about the nonlinear system. (a) dz/dt x- - zy, dy/dt 3y- xy-2y (b) dr/dt r2 + y, dy/dt=y-ay
Problem 1 (Linear Systems of Equations). (a) Determine the values of a for which the follow- ing system of equations have no solution, exactly one solution, infinitely many solutions (a + 2)y + (a2-4)2 = (0-2) (b) If A = 4-1 0 a 2b a a be the augmented matrix of a linear system of equations then evaluate the values of a and b for which the linear system has no solution? exactly one solution? one parameter solution? two parameter...
FEL 1120 Linear Systems 2016 PART NO. 1. SOLVE THE FOLLOWING PROBLEMS Problem No. Solve the following system of linear equations using elementary row operations (do not use matrices when solving it) Show every step when modifying the system to REF 2. Show REF of your system 3. Show all steps to modify the system to 4. Show RREF of your system 5. Write the solution ( y-2v + x + 3y + 2z = 1 -V + 2x +...
Please answer part a and b :) Which of the following vector fields are conservative? (i) F(x, y) = (9y8 +3) i + (8x8y' +7) j (ii) F(x,y) = (8ye8x + cos 3ji + (e8x + 3x sin 3jj (iii) F(x,y)-7y2e7xyİ + (7 +xy) e7xyj (A) all of them (B) (iii) only (C) (i) and (ii) only (D) (i) and (iii) only (E) none of them (F) (ii) and (iii) only (G) (ii) only (H) (i) only st Save Submit...
For each of the following systems: (i) Find the general solution by using eigenvalues and eigenvectors. (ii) State whether the origin is stable, asymptotically stable, or unstable. (iii) State whether the origin is a node, saddle, center, or spiral. For each of the following systems: (i) Find the general solution by using eigenvalues and eigenvectors. (ii) State whether the origin is stable, asymptotically stable, or unstable. |(iii) State whether the origin is a node, saddle, center, or spiral. Problem 1:...