Q2. Consider a state space system with1c = [1 2 0].A =ㅇ1B =-3 5For each of the following desired polynomials, find a gain matrix K such that the characteristicpolynomial of A – BK is same as the desired characteristic polynomial.а.s3+ 3s2 – 5s +2b. s3 + s? +s +1c. s + 2s2 + 3s +4

Answered: Q2. Consider a state space system with…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Exercise 8.17 1. Find the products: (a)) (x - 3)² b) d) (x-5)(x-5) e) 9) (2x-1)(3x + 1) h) k i) (5 - 2x)(2x + 5) m) (2x + 3y)(3x - 2y) p) (2x+7)(3x - 6) (ax + by)² n q t Term 1 Week 8
(a) Table 1 shows the COVID-19 data in Malaysia. Compute using Lagrange Interpolating Polynomial: i. C:(5.7) ii. C3(5.7) Table 1: COVID-19 Data in Malaysia 4 5 C(x) 5 7 3 6. 2.
This is a question from a linear algebra course: Let V = R[X]3, the polynomials of degree at most three, and B = {1, X, X2, X3}. Show what the image under fB is of:• the four basic elements: P1(X) = 1, P2(X) = X, P3(X) = X2 and P4(X) = X3• P(X) = 2 + 6X + 3X2 + 4X3
8. Find the inverse of each matrix below using elementary row operation 3 A = 1 a. 2 1 b. В - 3 1 1.
29. [3.-8 Does the matrix A = have an inverse? If so, what is it? 2 -5 -3 8 O yes; A 1 (-2/5 -5 8 Oyes; A-1 -2 3 Oyes; A 1 -3 Ono
I believe A is correct, but I am not sure about w. It needs to be written as a fraction. Thanks!
2. Determine the greatest common divisor of a(x) = x³ – 2 and b(x) = x +1 in Q[x] and write it as a linear combination, in Q[x], of a(x) and b(x).
Solve this
Use Algorithm 3.2 (Divided Difference) to construct the interpolating polynomial of degree three for the following data: f(1) = 1.2,f(2)= 1.6,f(4)=2, and f(5)=2.6 , then f(2.6)
It is possible to write æk as a linear combination of Chebyshev's polynomials, for example To(x) + 등Ta(x) Suppose that 5aª – 2r³ + 3.x² – x + 7 = Ea;T:(x) i=0 What are the values of a2, and a3? 4, -1/2 O 0, 3/4 О 1/2, 3/4 О 2.5, -1.5
6. Find the LCM of the polynomials. 2- 8t +15 2-t-20 O A. (t+3)(t – 5)(t – 4) O B. (t-3)(t + 5)(t – 4) Oc. (t-3)(t-5)(t + 4) OD (t+3)(t- 5)(t +4)

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

Q2. Consider a state space system with 1 c = [1 2 o]. A = 1 B = -3 5 -2 For each of the following desired polynomials, find a gain matrix K such that the characteristic polynomial of A- BK is same as the desired characteristic polynomial. a. s3 + 3s? – 5s + 2 b. s3 + s2 +s +1 c. s + 2s2 + 3s +4