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  • why geometric multiplicity is bounded by algebraic multiplicity?
    The geometric multiplicity the be the dimension of the eigenspace associated with the eigenvalue λi λ i For example: [1 0 1 1] [1 1 0 1] has root 1 1 with algebraic multiplicity 2 2, but the geometric multiplicity 1 1 My Question : Why is the geometric multiplicity always bounded by algebraic multiplicity? Thanks
  • Proof of geometric series formula - Mathematics Stack Exchange
    So for, the above formula, how did they get (n + 1) (n + 1) a for the geometric progression when r = 1 r = 1 I also am confused where the negative a comes from in the following sequence of steps
  • Calculate expectation of a geometric random variable
    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, an extremely enjoyable course) and based on (a) the memoryless property of the geometric r v and (b) the total expectation theorem
  • Solving for the CDF of the Geometric Probability Distribution
    Solving for the CDF of the Geometric Probability Distribution Ask Question Asked 8 years, 3 months ago Modified 8 years, 3 months ago
  • What does the dot product of two vectors represent?
    21 It might help to think of multiplication of real numbers in a more geometric fashion 2 2 times 3 3 is the length of the interval you get starting with an interval of length 3 3 and then stretching the line by a factor of 2 2 For dot product, in addition to this stretching idea, you need another geometric idea, namely projection
  • How do you calculate the geometric multiplicities?
    So the geometric multiplicity of A A for λ λ is 2 − 0 = 2 2 − 0 = 2 while it is for b b equal to 2 − 1 = 1 2 − 1 = 1 Obviously this "method" is not easy for each matrix and eigenvalue, but it is easy in some cases I am not aware of a better method for calculating the geometric multiplicities
  • What is a geometric structure? - Mathematics Stack Exchange
    Geometric structure in the sense of Ehresmann (see here), or an (X, G) (X, G) -structure Let X X be an n n -dimensional manifold and G G a group (or pseudogroup) of transformations of X X One usually assumes that G G acts transitively and real-analytically, but let's ignore this
  • MLE of the Geometric Distribution - Mathematics Stack Exchange
    MLE of the Geometric Distribution Ask Question Asked 3 years, 1 month ago Modified 3 years, 1 month ago


















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