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Proof that any antisymmetric matrix C is congruent to a block diagonal matrix?

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#jordan-normal-form #symmetric-matrices #matrix-congruences
45
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Find matrix and Jordan basis of endomorphism

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#matrices #jordan-normal-form
488
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Root of upper triangular matrices

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#linear-algebra #eigenvalues-eigenvectors #inverse #jordan-normal-form
113
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Similarity of $3\times3$ matrices via Jordan canonical form

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#linear-algebra #eigenvalues-eigenvectors #determinant #jordan-normal-form
77
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Finding the matrix representation of a linear operator $T$ for $T(f(x))=2(f(x))-f'(x)$ in $\mathbb{P}_2(\mathbb{R})$

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#linear-algebra #jordan-normal-form
109
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Ununderstanded Jordan normal form

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#jordan-normal-form
767
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Finding a generalized eigenvector

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#linear-algebra #eigenvalues-eigenvectors #jordan-normal-form
182
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Uniqueness of Jordan normal form via the Structure Theorem

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#linear-algebra #abstract-algebra #modules #jordan-normal-form
383
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Finding Jordan-normal form of a special $n\times n$ matrix

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#linear-algebra #ordinary-differential-equations #jordan-normal-form
83
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How many families of positive definite matrices (not necessarily symmetric) of dimension 2 (up to similarity)?

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#matrices #diagonalization #jordan-normal-form #positive-definite
1.5k
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Jordan canonical form of a system

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#linear-algebra #matrices #control-theory #jordan-normal-form #linear-control
1.8k
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Where does the Jordan canonical form show up in more advanced mathematics?

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#linear-algebra #abstract-algebra #matrices #jordan-normal-form #research
39
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If $\lambda $ is an eigenvalue of A such that $|\lambda| = \rho(A)$, then deg$\lambda \leq $ deg $\rho(A)$.

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#linear-algebra #matrices #eigenvalues-eigenvectors #jordan-normal-form
109
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If matrices $A,B$ similar, find nonsingular $S$ s.t.$B=S^{-1}AS$

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#linear-algebra #matrices #eigenvalues-eigenvectors #systems-of-equations #jordan-normal-form
273
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How to find Jordan basis of a matrix

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#linear-algebra #matrices #eigenvalues-eigenvectors #jordan-normal-form

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