inverse matrix

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inverse matrix (plural inverse matrices or inverse matrixes)

  1. (linear algebra) Of a matrix A, another matrix B such that A multiplied by B and B multiplied by A both equal the identity matrix.
    Given the basis of some vector space V, how to find its dual basis, i.e., the basis of the dual space ? Fill the columns of a square matrix M with the basis vectors of V. Find the inverse matrix of M. Then the rows of are the (co)vectors of that dual basis. Since , then .