Find all distinct (real or complex) eigenvalues of A.
Then find the basic eigenvectors of A corresponding to
each eigenvalue.
For each eigenvalue, specify the number of basic eigenvectors
corresponding to that eigenvalue, then enter the eigenvalue
followed by the basic eigenvectors corresponding to that
eigenvalue.
A = 11 −10
17 −15
Number of distinct eigenvalues: ?
Number of Vectors: ?
? : {???}
use the elimination method to find the general solution for the
given linear system where differentiation is with respect to t.
2x'+y'-x-2y=e^-t and x'+y'+2x+2y==e^t
Use the elimination method to find a general solution for the
given linear system, where differentiation is with respect to
t.
x'=9x-2y+sin(t)
y'=25x-y-cos(t)
Use the elimination method to find a general solution for the
given linear system, where differentiation is with respect to
t.
x'=5x-6y+sin(t)
y'=3x-y-cos(t)
Use the method of Undetermined Coefficients to find a general
solution of this system X=(x,y)^T
Show the details of your work:
x' = 6 y + 9 t
y' = -6 x + 5
Note answer is: x=A cos 4t + B sin 4t +75/36; y=B cos
6t - A sin 6t -15/6 t
Find the characteristic equation and the eigenvalues (and
corresponding eigenvectors) of the matrix. 2 −2 5 0 3 −2 0 −1 2 (a)
the characteristic equation (b) the eigenvalues (Enter your answers
from smallest to largest.) (λ1, λ2, λ3) = the corresponding
eigenvectors x1 = x2 = x3 =
In each of Problems 16 through 25, find all eigenvalues and
eigenvectors of the given matrix. 16) A= ( 1st row 5 −1 2nd row 3
1) 23) A= (1st row 3 2 2, 2nd row 1 4 1 , 3rd row -2 -4 -1)