Let A = [ .4 0 .2 .3 .8 .3 .3 .2 .5 ] . The vector v 1 = [ 1 6 3 ] is an eigenvector for A , and two eigenvalues are .5 and 2. Construct the solution of the dynamical system x k +1 = A x k that satisfies x 0 = (0, .3, .7). What happens to x k as k → ∞?
Let A = [ .4 0 .2 .3 .8 .3 .3 .2 .5 ] . The vector v 1 = [ 1 6 3 ] is an eigenvector for A , and two eigenvalues are .5 and 2. Construct the solution of the dynamical system x k +1 = A x k that satisfies x 0 = (0, .3, .7). What happens to x k as k → ∞?
Let A =
[
.4
0
.2
.3
.8
.3
.3
.2
.5
]
. The vectorv1 =
[
1
6
3
]
is an eigenvector for A, and two eigenvalues are .5 and 2. Construct the solution of the dynamical system xk+1 = Axk that satisfies x0 = (0, .3, .7). What happens to xk as k → ∞?
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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