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Kernel and Image of 3 space

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#linear-algebra #matrices #matrix-calculus #matrix-decomposition #random-matrices
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Derivative of a square matrix to a power

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#calculus #matrices #derivatives #matrix-calculus
10.4k
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How does a column of Zeros affect a Matrix?

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#matrices #matrix-calculus
159
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Maximum Likelihood Estimation of Multivariate Gaussian Density, where the number of samples is smaller than the unknown parameters

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#matrices #statistics #statistical-inference #matrix-calculus #stochastic-approximation
94
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Constant rank map between matrix manifolds

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#multivariable-calculus #differential-geometry #matrix-calculus
1.8k
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a confusion about the matrix chain rule

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#matrices #vectors #matrix-calculus #chain-rule
73
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Derivation of function with multiple variables

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#multivariable-calculus #partial-derivative #numerical-linear-algebra #matrix-calculus
56
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Two diagonal matrices

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#matrices #matrix-equations #matrix-calculus #matrix-rank
58
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Is $f(\mathbf{X}) = \sup_{\|\mathbf{y}\|\leq 1 } Tr(\mathbf{X \mathbf{y}\mathbf{y}}^T)$ an affine function?

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#convex-analysis #convex-optimization #matrix-calculus
60
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Is this identity regarding matrix exponential correct?

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#linear-algebra #matrix-calculus #matrix-exponential
170
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Matrix calculus derivative form to canonical differential form

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#matrix-calculus #differential #canonical-transformation
26
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The derivative of $u^\top N\, x$ with respect to $u$

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#partial-derivative #matrix-calculus #control-theory
1.9k
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Taylor Expansion of Eigenvector Perturbation

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#calculus #matrices #eigenvalues-eigenvectors #taylor-expansion #matrix-calculus
2.2k
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Jacobian and chain rule

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#matrix-calculus #jacobian
481
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(Matrix Calculus) Chain Rule

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#matrix-calculus

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