Week 3 Section: State Space and Vectors
State Space
1.
Each row in the table below represents a different dynamical system, for which the state
variables are described. Complete the blank cells in the table.
State variables
Can it be
negative?
Sketch the state space (if
possible)
Name state space in
ℝ
n
notation
population of alligators in a
swamp
position and velocity of
stretched slinky
number of tulips, daisies
and lilies in Tiffany’s garden
concentrations of the
hormones cortisol, ACTH,
corticotropin-releasing
hormone, and vasopressin
Delicious Vectors
2.
Dhruva has 3 chocolate chip cookies and 2 oatmeal raisin cookies. Bella, Naeli, and Will each
have 2 chocolate chip cookies and 1 oatmeal raisin cookie. How many chocolate chip and
oatmeal raisin cookies do they have together?
a.
Use the algebraic version of the rules for vectors to answer this question, showing your
work.
