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Power and exponential of the following Jordan form

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-exponential
45
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Why is the null space spanned in this way?

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41
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Sorted eigenvalues decay with a nice law: is this a coincidence?

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#matrices #eigenvalues-eigenvectors
56
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I need to find two matrices $A,B$ in $M_{2}(\mathbb{C})$ such that ...

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#linear-algebra #matrices #eigenvalues-eigenvectors #examples-counterexamples #c-star-algebras
297
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Lower bound on smallest eigenvalue of a large matrix

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#linear-algebra #matrices #eigenvalues-eigenvectors #upper-lower-bounds
27
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Do characteristic matrices have different determinant properties?

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140
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Given the characteristic polynomial for the matrix, prove these statements about the trace of the matrix and the determinant of the matrix.

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#matrices #eigenvalues-eigenvectors
126
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inconsistent results from min-max theorem & Cauchy-Schwarz inequality

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#linear-algebra #eigenvalues-eigenvectors
653
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Diagonalizability of $f$ depends on $f \circ f$

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations #diagonalization
28
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Why is the characteristic polynomial of a linear map, $f$, independent of the basis w.r.t. which the matrix $A$ represents f?

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#eigenvalues-eigenvectors
72
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Given a matrix $A_x$, which of the following properties is true?

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#linear-algebra #matrices #eigenvalues-eigenvectors
5.5k
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Eigenvalues/Eigenvectors of scaled matrix

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#matrices #eigenvalues-eigenvectors
466
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How many eigenvector I have?

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#linear-algebra #eigenvalues-eigenvectors
29
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Eigenvalues and their negatives, example from Friedberg

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1k
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Is every invariant subspace also a generalized eigenspace?

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