| George Salmon - Geometry, Analytic - 1862 - 490 pages
...we have 04J = AB, but if we commence with b we have b-\-a = DC; and these results are equal since A AB and DC are equal and parallel. It is evident on...commutative law a + b = b + a, and the associative law 3. Denoting, as before, by AB the operation of going from A to B, — AB naturally denotes the reversing... | |
| Ian Stewart, David Orme Tall - Mathematics - 1977 - 280 pages
...'one, two, three, ..." until we have pointed to all of the objects, once each. express algebraically as the commutative law a + b = b + a, and the associative law a +(b + c) = (a + b) + c) may or may not be 'obvious', depending on the approach used. If addition is... | |
| Timothy Hagle - Mathematics - 1996 - 114 pages
...order, mxn, the matrix A + B is the matrix of order mxn such that A + B = [aĦj + bĦj]. In addition, the commutative law (A + B = B + A) and the associative law [(A + B) + C = A + (B + C)] both hold for matrix addition. 3. If A = [fly] and k is a scalar (constant),... | |
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