Homework Statement
Suppose that A is a real symmetric n × n matrix. Show that if V is
a subspace of R^n and that A(V) is contained in V , then A(V perp) is contained in V perp.
Homework Equations
A = A_T (A is equal to its transpose)
The Attempt at a Solution
I have no idea...
(this is not homework)
Suppose I wanted to solve:
\int log(x) log(x+1) dx from 0 to 1.
I would turn ln(x+1) into a series, namely, –∑(-1)^n * x^n / n
Any ideas? Besides substituting, pulling out the n's, and using intgration by parts?
Homework Statement
Find the average area of an inscribed triangle in the unit circle. Assume that each vertex of the triangle is equally likely to be at any point of the unit circle and that the location of one vertex does not affect the likelihood the location of another in any way. (Note...
Find the average area of an inscribed triangle in the unit circle. Assume that each vertex of the triangle is equally likely to be at any point of the unit circle and that the location of one vertex does not affect the likelihood the location of another in any way. (Note that, as seen in Problem...