Editing Multilinear algebra (section)

{{Short description|Branch of mathematics}}
{{EngvarB|date=March 2019}}

'''Multilinear algebra''' is the study of [[Function (mathematics)|functions]] with multiple [[vector space|vector]]-valued [[Argument of a function|arguments]], with the functions being [[Linear map|linear maps]] with respect to each argument. It involves concepts such as [[Matrix (mathematics)|matrices]], [[tensor]]s, [[multivector]]s, [[System of linear equations|systems of linear equations]], [[Higher-dimensional space|higher-dimensional spaces]], [[Determinant|determinants]], [[inner product|inner]] and [[outer product|outer]] products, and [[Dual space|dual spaces]]. It is a mathematical tool used in [[engineering]], [[machine learning]], [[physics]], and [[mathematics]].<ref>{{Cite journal |last1=Pandey |first1=Divyanshu |last2=Venugopal |first2=Adithya |last3=Leib |first3=Harry |date=2024 |title=Linear to multi-linear algebra and systems using tensors |journal=Frontiers in Applied Mathematics and Statistics |volume=9 |doi=10.3389/fams.2023.1259836 |doi-access=free |issn=2297-4687|arxiv=2304.10658 }}</ref>