The geometric multiplicity is the number of linearly independent vectors, and each vector is the solution to one algebraic eigenvector equation, so there must be at least as much algebraic multiplicity.

1 We better interpret the geometric meaning of transpose from the view point of projective geometry. Because only in projective geometry, it is possible to interpret that of all square matrices.

That is what the geometric defintion tells you. The equivalence of the geometric and algebraic defintions of the dot product is encapsulated in those dot products.

For example, there is a Geometric Progression but no Exponential Progression article on Wikipedia, so perhaps the term Geometric is a bit more accurate, mathematically speaking? Why are there two …

I'm trying to derive the characteristic function for exponential distribution and geometric distribution. Can you please guide me on getting them? Here is my solution so far: Characteristic functio...

So surely you see the answer now, but I'll state it for the record: a power series is a geometric series if its coefficients are constant (i.e. all the same). In particular, not all power series are geometric. For …

Dec 13, 2013 · 2 A clever solution to find the expected value of a geometric r.v. is those employed in this video lecture of the MITx course "Introduction to Probability: Part 1 - The Fundamentals" (by the way, …

I need clarified and detailed derivation of mean and variance of a hyper-geometric distribution. If a box contains $N$ balls, $a$ of them are black and $N-a$ are ...

Geometric multiplicity, as you say, is the number of linearly independent eigenvectors related to a given eigenvalue. Whereas the algebraic multiplicity is the dimension of the invariant subspace. In general …

Aug 10, 2010 · Geometry is a pretty new app on Mac OS X for making geometric constructions and check angles etc. Contrarily to Latex or others, you can move points and lines etc interactively and …