For the system X' = AX, if the characteristic polynomial for the 3x3 matrix A is11given by P(r) = [- (r –1)’]. If A–I= 1then the fundamental matrix11-2 -2- 2e At is[e'+te'te'te'a)te'e' +te'te- 2te- 2te'e' - 2te'ee'e'b) e' te' te'e' te' te'te' te' tec) te' te' te'te' te' tee' + tete'd)tete'e'te'

Answered: Image /qna-images/answer/76e936a7-834a-463b-9437-a32c9f1c34c7.jpg

For the system X' = AX, if the characteristic polynomial for the 3x3 matrix A is 1 given by P(r) = [- (r –1)’]. If A-I= 1 then the fundamental matrix 1 1 2 -2 eAt is e' +te te te' a) te' e' +te' te - 2te - 2te e' - 2te' e e' e b) e te te' e' te' te [te te' te c) te te te te te te e' + te te' d) te te e te'

For the system X' = AX, if the characteristic polynomial for the 3x3 matrix A is 1 given by P(r) = [- (r –1)’]. If A-I= 1 then the fundamental matrix 1 1 2 -2 eAt is e' +te te te' a) te' e' +te' te - 2te - 2te e' - 2te' e e' e b) e te te' e' te' te [te te' te c) te te te te te te e' + te te' d) te te e te'

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

(4) Let B be the matrix 1 1 3 В 2 3 4 -3 -6 -2 (4a) Find the inverse matrix B¬1. (4b) Given the equation 3 Bx 1 use B-' to solve for x.
Only (a) and (d) and (e).
-2 Q2: A) If A' = and the det = -2 -1/2] find the matrix A and what is the rank of this matrix ? B) Solvė the following matrix equations for x,y and z x 3 - y [3 71 - XJ
-9- 4 9. -1 Given a matrix A and a vector x = -1 ER', calculate Ax 3 -9 (a) as a linear combination of columns of A. (b) with entries as dot products of rows of A and x.
Suppose A, B are 3x3 matrices, det A = 6 , and det B=-5. Find the following determinants. (a): det (B-'A) (b): det (AT B) (c): det (3B)
Need only a handwritten solution only (not a typed one).
Find Jacobian Matrix Df(a)
Help me fast please.
9. If M = e zei 2e- Is a fundamental matrix for X' = AX, then the exponential matrix et is %3D B) 2e- ef-2e- 2et -2e t E) None
Consider the quadratic form Q(x, y) = -² A = la cla 14 9 ala 10 Ila 28 9 ---/- 14 9 14 9 14 9 20 9 56 x y 9 following principal minors of the matrix A: The (leading) principal minor 1pm3 = pm3 of order 3: The leading principal minor 1pm² = pm3 of order 2: The leading principal minor 1pm₁ = pm of order 1: The principal minor pm² of order 2: The principal minor pm² of order 2: The principal minor pm of order 1: The principal minor pm of order 1: 9 Now use your answers to classify Q: (No answer given) -28 x z We want to classify this using Sylvester's Criteria (the principal minor test). Calculate the 28 y z 9 + 202² with symmetric coefficient matrix
Do