Calculation of Matrices of Field Elements . Part I
نویسندگان
چکیده
(4) Let K be a field and M1, M2, M3 be matrices over K. Suppose lenM1 = lenM2 and lenM2 = lenM3 and widthM1 = widthM2 and widthM2 = widthM3 and lenM1 > 0 and M1 + M3 = M2 +M3. Then M1 = M2. (5) For every field K and for all matrices M1, M2 over K such that lenM2 > 0 holds M1 − −M2 = M1 +M2. (6) For every field K and for all matrices M1, M2 over K such that lenM1 = lenM2 and widthM1 = widthM2 and lenM1 > 0 and M1 = M1 + M2 holds M2 = 0 . . . 0 .. . . . .. 0 . . . 0 (lenM1)×(widthM1)
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