1 . ] 8. Systems of differential equations. To 1 0 1. Find the eigen values...
MAY YOU PLEASE VERIFY HOW THEY GOT THE VALUES OF λ , "eigen values". The thing that the book is asking us to verify that is what I want answered please how they got λ = to 2, -2, and 3 please show all steps, i don't want a short answer, i really have hard time with this - x %2528162529 Ron Lars X .. fie/C/Users/Tara Tara/Downloads%25252819%252529%20Ron%20 Lars on - Blementary%20Linear%20Algebrapdf EXAMPLE 4 Diagonalizing a Matrix Show that the matrix...
1. For each of the following systems of linear equations, find: • the augmented matrix • the coefficient matrix • the reduced row echelon form of the augmented matrix • the rank of the augmented matrix • all solutions to the original system of equations Show your work, and use Gauss-Jordan elimination (row reduction) when finding the reduced row echelon forms. (b) 2 + 2x W 2w - 2y - y + y + 3z = 0 = 1 +...
8. Consider the nonhomogeneous linear system of differential equations 1 1 1 -1 u = -1 11 1 1 u-et 1 1 2 3 First of all, find a fundamental matrix and the inverse matrix of the fundamental matrix of the corresponding homogeneous linear system. Then given a particular solution 71 uy(t) = et 1 2 find the general solution of the nonhomogeneous linear system of differential equations. Hint: det(A - \I) = -(1 – 2)?(1+1)
Consider the matrix -2 -3 AE 1 -3 3 a) Find the eigenvalues of A. And the eigen vectors associated to them. b) Is A diagonalizable ? Justify your Answer.
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...
1. For the following systems of differential equations: (i) Find the general solution. (ii) Plot the phaseportrait and characterize the equilibrium. (iii) Choose an initial condition x(0) in the phase plane, and sketch the components z(t) and y(t) of the corresponding solution x(t) vs t, in two additional plots. *(*= 1) = x (0)
HOW TO FIND THE SECOND EIGEN VECTOR FOR A MULTIPLICITY 2 ? The objective is to find the eigenvalues and corresponding eigenvectors. (2 0-1 1 0 Consider the matrix, A= 0 2 10 4
Please answer 1 and 2 with explanation. EIGEN VALUE-VECTORS 1) Find the eigenvalues and their corresponding eigenvectors of the matrix 1 3 2 ) A=| 10 -2 ) 2) Find the eigenvalues and their corresponding eigenvectors of the matrix Tunin o diaconal matrix. Can matrix A be
1. For the following systems of differential equations: (i) Find the general solution. (ii) Plot the phaseportrait and characterize the equilibrium. (iii) Choose an initial condition x(0) in the phase plane, and sketch the components r(t) and y(t) of the corresponding solution x(t) vs t, in two additional plots. (a) x' = G =)
(1 II. Find eigen values and eigen vectors of A=0 LO 6. 0 2 -3 01 3 2)