Let V and W be finite – dimensional vector space over the field F. Let 6 be an* orderd basis for V with dual basis 6*, and let 6' be an orderd bsis for W with dual basis 6". Let T be a linear ansformation from V into W; let A be the matrix of T relative to 6, 6' and let B be the matrix of T' relative 6", 6*. Then Bij Aji

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