See inverse matrix in All languages combined, or Wiktionary
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"text": "Given the basis of some vector space V, how to find its dual basis, i.e., the basis of the dual space V#x2A;? Fill the columns of a square matrix M with the basis vectors of V. Find the inverse matrix M#x7B;-1#x7D; of M. Then the rows of M#x7B;-1#x7D; are the (co)vectors of that dual basis. Since (M#x7B;-1#x7D;)#x7B;-1#x7D;#x3D;M, then (V#x2A;)#x2A;#x3D;V.",
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"(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."
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"text": "Given the basis of some vector space V, how to find its dual basis, i.e., the basis of the dual space V#x2A;? Fill the columns of a square matrix M with the basis vectors of V. Find the inverse matrix M#x7B;-1#x7D; of M. Then the rows of M#x7B;-1#x7D; are the (co)vectors of that dual basis. Since (M#x7B;-1#x7D;)#x7B;-1#x7D;#x3D;M, then (V#x2A;)#x2A;#x3D;V.",
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"word": "pöördmaatriks"
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{
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"word": "matrice inverse"
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"word": "inverse Matrix"
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