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Jordan Normal Forms for a Skew Adjoint Operator in the Lorentzian Math Csusb

Jordan Normal Forms for a Skew Adjoint Operator in the Lorentzian Math Csusb

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hello and welcome to this video about a topic in linear algebra and as always first I want to thank all the nice people that support this channel on study the topic for today is the so called Jordan normal form this one is such an important problem that I will do a couple of videos about it this one is now part 1 where I want to talk a little bit about the concept of the Jordan normal form now I should immediately mention that the name comes from an French mathematician called Camille Judah however since most people use the English pronunciation I will also do this for these videos ok so let's start with something you should already know now let a be a square matrix with real or complex numbers as entries then we call a diagonalizable if there is an invertible matrix X of the same size such that this matrix tense forms the matrix a into a diagonal matrix more concretely this means X inverse a x equals a diagonal matrix D or equivalently we can say that we can decompose the matrix a int

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