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Prove that two operators have a common eigenvector

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations #jordan-normal-form
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The Jordan canonical form of the matrix

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339
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Jordan block size

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Show that the determinant of jordan normal form wtih spatial weight matrix by its eigenvalues

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Understanding the linear transformation given by matrix multiplication

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Square root of a matrix by looking at the eigenspaces

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How many realizations are there then in a structured set of matrices yielding characteristic polynomial $(t+1)^4$?

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540
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Matrix that are not upper triangular

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215
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Determine Jordan block size.

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#linear-algebra #control-theory #jordan-normal-form #linear-control
47
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A Step in The Proof of Jordan Form: Trivial Space

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883
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How to find the size of a Jordan Block

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97
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Finding the Jordan Form of a transformation defined by $T(X)=AX$ when $A,X \in M_{4\times 4}(\mathbb C)$

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80
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Find $\dim\ker(A-B)$ if the minimal polynomials of $A$ and $B$ are given

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166
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Find the Upper Triangular Matrix

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530
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Similar block diagonal Matrices

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