A is an n\times n matrix. check the true statements below:

a. an eigenspace of a is just a null space of a certain matrix.

b. if v_{1} and v_{2} are linearly independent eigenvectors, then they correspond to distinct eigenvalues.

c. if ax = \lambda x for some nonzero vector x, then \lambda is an eigenvalue of

a.

d. if ax = \lambda x for some vector x, then x is an eigenvector of

a.

e. the eigenvalues of a matrix are on its main diagonal.

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day

i just did an experiment like this in my science class. also the answer is yes, it will get separated because they are two opposites meaning if they are opposite they can not attract.

hope this .!

the maxium height is 34m/s