For the matrix A, find (if possible) a nonsingular matrix P such
that P−1AP is diagonal. (If not possible, enter IMPOSSIBLE.) A = 2
−2 3 0 3 −2 0 −1 2 P = Verify that P−1AP is a diagonal matrix with
the eigenvalues on the main diagonal. P−1AP =
Diagonalize the matrix (That is, find a diagonal matrix D and an
invertible matrix P such that
A=PDP−1.
(Do not find the inverse of P). Describe all eigenspaces of A
and state the geometric and algebraic multiplicity of each
eigenvalue.
A=
-1
3
0
-4
6
0
0
0
1
Assume that demand for a commodity is represented by the
equation P = 10 – 0.2 Q d, and supply by the equation P = 5+ 0.2 Qs
where Qd and Q s are quantity demanded and quantity supplied,
respectively, and P is the Price. Use the equilibrium condition Qs
= Qd a. Solve the equations to determine equilibrium price b. Now
determine the equilibrium quantity c. Graph the two equations to
substantiate your answers and label these two graphs...
Assume that demand for a commodity is represented by the
equation P = 10 – 0.2 Qd, and supply by the equation P = 5 + 0.2 Qs
where Qd and Q s are quantity demanded and quantity supplied,
respectively, and P is the Price. Use the equilibrium condition Qs
= Qd , 1: Solve the equations to determine equilibrium price. 2:
Now determine equilibrium quantity. 3: Graph the two equations to
substantiate your answers and label these two graphs...