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Checking if a vector can be eigenvector of an eigenvalue.

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#linear-algebra #geometry #eigenvalues-eigenvectors
109
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Is there any connection between the fact that a set of vectors are mutually orthogonal and the same set of vectors are linearly independent

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#linear-algebra #eigenvalues-eigenvectors #orthogonality #orthonormal
466
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Either a self-adjoint operator has $n$ eigenvector or not at all

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations #orthogonality #adjoint-operators
2.4k
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Does an n by n Hermitian matrix always has n independent eigenvectors?

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#linear-algebra #matrices #eigenvalues-eigenvectors
112
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Minimal Polynomial and Jordan Basis

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#linear-algebra #eigenvalues-eigenvectors #induction #jordan-normal-form #minimal-polynomials
84
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Geometric Intuition for the Existence of Eigenvectors

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations
40
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Do eigenvalues remain the same after transforming a matrix to an upper diagonal one?

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#eigenvalues-eigenvectors
528
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Repeated zero eigenvalues 3x3 and higher

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#eigenvalues-eigenvectors
92
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Matrix diagonalizable and eigenvalues

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#linear-algebra #matrices #eigenvalues-eigenvectors #finite-fields
197
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Constraint on eigenvalues from matrix equations

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#linear-algebra #eigenvalues-eigenvectors
22
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Strategies In Computing Determinant?

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#eigenvalues-eigenvectors #determinant
49
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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
102
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How to find eigen values of this matrix

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#linear-algebra #matrices #eigenvalues-eigenvectors
346
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Let C= [a b; b a]. Show that [1; 1] and [1; -1] are eigenvectors of C. What are corresponding eigenvalues?

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#linear-algebra #eigenvalues-eigenvectors
908
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A is a nxn matrix with zero as an eigenvalue. Show that $A$ is not invertible.

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#eigenvalues-eigenvectors #inverse

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