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Does every polynomial with a Perron root have a primitive matrix representation?

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56
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Looking for verification that I correctly showed these matrices are similar

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#linear-algebra #matrices #eigenvalues-eigenvectors #diagonalization #similar-matrices
257
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Matrices similar to nilpotent

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Find the values of $a$ and $b$ such that the following matrices are similar

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#linear-algebra #matrices #similar-matrices
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Sufficient condition for a matrix to be diagonalizable and similar matrices

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205
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Diagonalizable matrices with same geometric multiplicity for every eigenvalue similar?

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439
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Proving two matrices are similar using the characteristic polynomial

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1.7k
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Is every matrix conjugate to its transpose in a continuous way?

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#linear-algebra #matrices #continuity #transpose #similar-matrices
834
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How do I find out that the following two matrices are similar?

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#linear-algebra #matrices #similar-matrices
124
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Similarity of $2 \times 2$ matrices

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#linear-algebra #matrices #minimal-polynomials #similar-matrices
795
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Matrix similar to permutation matrix

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#linear-algebra #matrices #diagonalization #similar-matrices #permutation-matrices
84
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Are matrices $A$ and $B$ similar?

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#linear-algebra #matrices #similar-matrices
58
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Proof that $A$ is similar to $B$

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#matrices #eigenvalues-eigenvectors #similar-matrices
1.3k
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Are matrices with the same eigenvalues always similar?

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#linear-algebra #abstract-algebra #matrices #eigenvalues-eigenvectors #similar-matrices
5.7k
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Do elementary row operations give a similar matrix transformation?

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#linear-algebra #matrices #representation-theory #similar-matrices

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