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Product rule for vector-valued functions

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#linear-algebra #matrices #multivariable-calculus #derivatives #matrix-calculus
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A direct sum of two function spaces

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#linear-algebra #direct-sum
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Are vectors in the null space of a matrix considered eigenvectors?

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#linear-algebra #eigenvalues-eigenvectors
315
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Is Cholesky factor of symmetric positive definite matrix unique?

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#linear-algebra
466
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Determinant of a special vandermonde type matrix

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#linear-algebra #determinant
540
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Find vector $x \not= 0$ that satisfies the equation $Ax = x$.

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#linear-algebra #vectors #matrix-equations
112
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Maximum Value of $a+b+c$

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#linear-algebra #algebra-precalculus #inequality #arithmetic
434
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How many square roots can a complex matrix with distinct non zero eigenvalues can take?

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#linear-algebra #matrices #diagonalization
324
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Finding the equation of the curve used to create a conical surface

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#linear-algebra #analytic-geometry #conic-sections
762
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Does the union of the spans of two subspaces span their sum?

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#linear-algebra
147
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Trace of a tensor to the power n, as a polynomial of it's invariants?

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#linear-algebra #tensors #trace
60
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Polynomial of linear transformation

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#linear-algebra #polynomials #linear-transformations #invariant-subspace
1k
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Simple proof that if $A^n=I$ then $\mathrm{tr}(A^{-1})=\overline{\mathrm{tr}(A)}$

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#linear-algebra #matrices #representation-theory #linear-transformations
117
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Linear System with rank deficiency

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#linear-algebra #matrices #linear-transformations #systems-of-equations
132
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Finding eigenvalues and eigenvectors of $B=AP$, where $P$ is a permutation matrix

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#linear-algebra #eigenvalues-eigenvectors #group-actions

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