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  • The order-n minors of certa...
    The order-n minors of certain (n + k)×n matrices
    Bag, Priyabrata; Dey, Santanu; Nagisa, Masaru; Osaka, Hiroyuki

    Linear algebra and its applications, 10/2020, Volume: 603
    Journal Article

    We determine sufficient conditions for certain classes of (n+k)×n matrices E to have all order-n minors to be nonzero. For a special class of (n+1)×n matrices E, we give the formula for the order-n minors. As an application we construct subspaces of Cm⊗Cn of maximal dimension, which do not contain any vector of Schmidt rank less than k and each of which has a basis of Schmidt rank k for k=2,3,4.

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