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How do I find the characteristic polynomial and eigenvalues?

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#linear-algebra #matrices #eigenvalues-eigenvectors #characteristic-polynomial #companion-matrices
129
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Prove that $A$ is similar to $B$

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#linear-algebra #matrices #jordan-normal-form #characteristic-polynomial #similar-matrices
209
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Solving for the closed form of recurrence relations using characteristic polynomial

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#recurrence-relations #characteristic-polynomial
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Can we deduce the characteristic polynomial for this matrix?

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#linear-algebra #matrices #characteristic-polynomial
159
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Monic polynomial and companion matrix

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#matrices #determinant #laplace-expansion #characteristic-polynomial #companion-matrices
429
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Derivative of coefficients of characteristic polynomial

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#matrices #derivatives #matrix-calculus #characteristic-polynomial #scalar-fields
50
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Finding characteristic polynomial and eigenvalues of a linear transformation

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations #characteristic-polynomial
263
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Calculating determinant using eigenvalues (real and complex)

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#linear-algebra #matrices #eigenvalues-eigenvectors #determinant #characteristic-polynomial
39
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$c_{n-1}$-th factor of polynomial and the trace of a matrix using induction

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#linear-algebra #matrices #trace #characteristic-polynomial
6.3k
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Find the $n$-th power of a $3{\times}3$ matrix using the Cayley-Hamilton theorem.

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#linear-algebra #matrices #cayley-hamilton #characteristic-polynomial
650
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Given the characteristic equation, how to find the determinant of a matrix

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#linear-algebra #matrices #determinant #characteristic-polynomial
204
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Characteristic polynomial of a matrix — algorithm

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#linear-algebra #algorithms #numerical-linear-algebra #symmetric-matrices #characteristic-polynomial
163
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Drawing conclusions from a characteristic polynomial

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#linear-algebra #matrices #eigenvalues-eigenvectors #diagonalization #characteristic-polynomial
240
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Kernel of characteristic polynomial of linear transformation

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#vector-spaces #linear-transformations #characteristic-polynomial
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Calculate matrix by using Cayley-Hamilton theorem

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#linear-algebra #matrices #cayley-hamilton #characteristic-polynomial

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