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Finding the $LU$ factorization of the matrix

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#linear-algebra #matrices #matrix-decomposition
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What is dimension over $\mathbb R$ of the space of $n\times n$ Hermitian matrices?

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#linear-algebra #matrices #hermitian-matrices
513
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Kronecker delta indexing rules: How the left side indices are calculated?

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#linear-algebra #dual-spaces
60
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Determining $x + y + z$

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#linear-algebra
80
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Generic Formula for $\prod\limits_{i}(x+k_i)$

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#calculus #linear-algebra
451
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Sufficient conditions for difference of matrices A-B to be positive definite

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#linear-algebra #abstract-algebra #matrices #functional-analysis #order-theory
269
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Kernel of a mapping from a polynomial vector space to $\mathbb{R}^3$

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#linear-algebra #polynomials #vector-spaces #solution-verification
236
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I've figured out linear algebra?

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#linear-algebra #change-of-basis
6.1k
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Computational complexity of matrix-vector product

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#linear-algebra #matrices #matrix-equations #computational-complexity
116
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automatic testing / infeasibility detection of two-phases SIMPLEX method

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#linear-algebra #optimization #linear-programming #numerical-linear-algebra #numerical-optimization
54
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Find a basis for $ \operatorname{null}(T)$ for $T\in\mathscr{L}(\mathscr{P}_2(\Bbb{R}))$ s.t. $T(f)=xf'(x)-f(1)x$

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#linear-algebra
2.7k
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Find a real matrix $B$ such that $B^3 = A$

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#linear-algebra #matrices #matrix-equations
402
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Inequality for the trace of two positive definite matrices

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#linear-algebra #matrices #inequality #eigenvalues-eigenvectors
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How to find the volume of a tetrahedron?

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#linear-algebra #determinant
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How to find the area of the image under T?

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#linear-algebra

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