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A linear map is an isomorphism if and only if the determinant is nonzero.

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#linear-algebra #vectors #determinant
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Can a subset of closed walks in a graph (e.g. from certain vertices only) be determined from the eigenvalues?

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#eigenvalues-eigenvectors #determinant #spectral-graph-theory
159
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Norm inequality for linear isomorphism

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#linear-algebra #inequality #vector-spaces #operator-theory #determinant
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Let $A$ be a $2 \times 2$ matrix such that $A^2=I$. Find trace and determinant

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#linear-algebra #matrices #eigenvalues-eigenvectors #determinant #trace
459
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An inequality between determinant and norm.

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#linear-algebra #functional-analysis #operator-theory #determinant #normed-spaces
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The relation between trace and determinant of a matrix

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#linear-algebra #matrices #determinant #trace
1.3k
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Find a mistake game! Matrix determinant using block matrices

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#matrices #determinant
344
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Expand a determinant

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#determinant
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Equality of determinants $\det(1+AB)=\det(1+BA)$

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#matrices #determinant
160
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a matrix with non zero determinant

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#matrices #determinant
88
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Proving that a determinant is non zero

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#determinant #matrix-equations
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Singularity positive semidefinite

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#matrices #determinant #positive-definite #positive-semidefinite
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How to prove that $\det(A+B) ≥ \det A +\det B$?

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#matrices #inequality #eigenvalues-eigenvectors #determinant #positive-definite
901
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Find missing Eigenvalues and check invertability

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#matrices #algebra-precalculus #eigenvalues-eigenvectors #determinant #diagonalization
104
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Finding generalised eigenvector - $(A-\lambda*I)^2$ is all zeros.

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#matrices #eigenvalues-eigenvectors #determinant

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