Consider an algebra where the vector space is ℝ3 and
the multiplication of vectors is the conventional cross product you
learned as a beginning physics student. Find the structure
constants of this algebra.
Linear Algebra
we know that x ∈ R^n is a nonzero vector and C is a real
number.
find all values of C such that ( In − Cxx^T ) is nonsingular and
find its inverse
knowing that its inverse is of the same form
Course: Differential Geometry (Vector Calculus & Linear
Algebra)
Provide all proofs
(a) Find the formula for the distance from p to the line
y=mx
(b) prove that the set U={(x,y): y<mx} is an open
set
suppose that T : V → V is a linear map on a finite-dimensional
vector space V such that dim range T = dim range T2. Show that V =
range T ⊕null T. (Hint: Show that null T = null T2, null T ∩ range
T = {0}, and apply the fundamental theorem of linear maps.)
a) Using relevant algebra and a hypothetical example, explain
what the statement “the delta of a call option is 0.85” implies for
a bank that wants to hedge a position in the option.
b) Using relevant algebra, explain what the risks for option
writers facing a large position gamma while their portfolio is
delta hedged?
c) A hedge fund owns a portfolio of options on the US dollar–euro
exchange rate. The delta of the portfolio is 65. The current
exchange...
Can someone make an example problem from these instructions?
This is Linear Algebra and this pertains to matrices.
Find the inverses and transposes of elementary and
permutation matrices and their products.
Use your own numbers to create a problem for this or post a
similar problem that describes this. I need this knowledge for a
quiz.