Linear and multilinear algebra; matrix theory

The 18 problems with a statement whose AMS attribute names 15, Linear and multilinear algebra; matrix theory, in the Mathematics Subject Classification. A problem with statements in several subjects is listed under each; its article sits in its source folder's part.

• Erdős Problem 499
• Squares of double factorials
• Central factorial numbers: \(((2n)!!)^2\)
• Determinant of Hankel matrix of the first \(2n-1\) prime numbers
• Catalan-Larcombe-French sequence
• Numerator of \(1/\det(M)\) for \(M\[i,j\] = 1/\operatorname{lcm}(i,j)\)
• Determinant of matrix with entries indicating primality of \(i^2 + j^2\)
• Determinantal conjecture
• Hadamard's conjecture
• Green's Open Problem 26
• Generic and maximal rank of 3-tensors
• The circulant Hadamard conjecture
• A conjecture by Margulis on matrix groups
• The microscopic weighting on a metric space
• The Gerstenhaber problem for three commuting matrices
• Open Quantum Problem 13: Mutually unbiased bases
• Open Quantum Problem 23: SIC-POVMs
• Open Quantum Problem 35: existence of absolutely maximally entangled pure states

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