 Therefore, the number of columns in A must be equal to the number of rows in B. If A is an mxn matrix and B is an nxp matrix, then C is an mxp matrix.  Computational Continuum Mechanicsby Ahmed A. Shabana - 2008No preview available - About this book
 | Astronautics - 1977 - 504 pages
...of [A] and [B]. To be conformable for matrix product (A.4.1) (with the mentioned order of factors) the number of columns in [A] must be equal to the number of rows in [B] . For instance, if the order of [A] ism xn, and the order of [B] is nxq, matrices [A] and [B] are conformable... | |
 | C. Xavier - Computers - 1994 - 554 pages
...Note that the product AB can be evaluated only when A is a MXN matrix and B is a NXL matrix That is, number of columns in A must be equal to the number of rows in B. Example 6.4.2 Suppose A= B= Here A is a 2X4 matrix B is 4 X 3 matrix. So, AB can be evaluated and it... | |
 | Ralph O. Mueller - Social Science - 1999 - 269 pages
...elements (a6)y of AB are defined by (ab)u = for 1 = 1, 2, . . . , p and j = 1, 2, . . . , r. Note that the number of. columns in A must be equal to the number of rows in B for the product AB to be defined. Consider the following example: Let A = 5 7 6 3 0 1 and B = then... | |
 | Ahmed Shabana - Technology & Engineering - 1996 - 416 pages
...by the elements of theyth column in B according to the rule cu = anbu + ai2b2j + • •• + ajnbnj Therefore, the number of columns in A must be equal to the number of rows in B. Observe that if A is an mxn matrix and B is an nxp matrix then C is an mxp matrix. Observe also that,... | |
 | Max Born, Emil Wolf - Science - 2000 - 996 pages
...elements by = Aa,y. The product AB of two matrices is defined only when the number of columns in A is equal to the number of rows in B. If A is an m X p matrix and B is ap X n matrix the product is then by definition the m X n matrix with elements... | |
 | Clarence W. de Silva - Technology & Engineering - 2006 - 980 pages
...premultiplied by A or, equivalently, A is post-multiplied by B. For this multiplication to be possible, the number of columns in A must be equal to the number of rows in B. Then, the number of rows of the product matrix C is equal to the number of rows in A, and the number... | |
 | Guu-Chang Yang, Wing C Kwong - Technology & Engineering - 2002 - 378 pages
...14 20 26 83 38 53 68 Although the number of rows in A and the number of columns in B are arbitrary, the number of columns in A must be equal to the number of rows in B. Otherwise, the product AB is not defined. Matrix multiplication is distributive and associative, such... | |
 | J.C. Das - Technology & Engineering - 2002 - 880 pages
...a scalar. The product of two matrices A and B is only possible if the number of columns in A equals the number of rows in B. If A is an mxn matrix and B is nxp matrix, the product AB is an mxp matrix where c;j = anbij + ai2b2j + ... + a,,,bnj (A.25) Multiplication... | |
 | Andrew R. Leach, V.J. Gillet - Science - 2003 - 286 pages
...0'¿ (0 —2 3”¿ II—I 1=1 I (A1.2) ¿4 0 1) L2 —3 2) L2 3 —1) To multiply two matrices (AB) the number of columns in A must be equal to the number of rows in B. If A is an mxn matrix and B is an nxo matrix the product AB is an mxo matrix. Each element (ij) in the product matrix is obtained by... | |
 | Alan Jeffrey - Mathematics - 2004 - 1018 pages
...В are any two matrices, the matrix product AB is only defined if the number of columns in A equals the number of rows in B. If A is an mxn matrix and В is an и xr matrix, then AB is defined. We may show this symbolically as follows: Number of rows... | |
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