The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system.x'1 = 9x, + 9x2 + 4x3., x'2 = - 10x, - 10x2 - 9x3, x'3 = 10x, + 10x2 + 9x3What is the general solution in matrix form?x(t) =O

Let us consider system of differential equation: X'=AX Find the eigenvalues of matrix A. let us say…

Answered: The eigenvalues of the coefficient…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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By using the method of least squares, find the best parabola through the points: (-1,-3). (1,3). (-2,-3). (0,-3) Step 1. The general equation of a parabola is c₂+₁+c₂2²-3. Plugging the data points into this formula gives a matrix equation Ac=y. 1 ATA- ATy= 1 Step 3. Solving the normal equation gives the answer -8 which corresponds to the formula a Step 2. The matrix equation Ac=y has no solution, so instead we use the normal equation A¹A = A¹y O 0 3
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The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system. x'1 = 9x, + 9x2 + 4x3, x'2 = - 10x, – 10x2 - 9x3, x'3 = 10x1 + 10×2 + 9x3 What is the general solution in matrix form? x(t) =