| J. H. Pollard - Mathematics - 1979 - 368 pages
...matrices alongside each other without a multiplication sign. For example, AB. The product AB only exists **if the number of columns in A is equal to the number of rows in B.** The resulting product matrix AB has the same number of rows as A and the same number of columns as... | |
| P. B. Bhattacharya, S. K. Jain - Algebra - 1983 - 280 pages
...given by П * Bki, (i, ./) emxp Note that matrices А, В can be multiplied (in that order) if and **only if the number of columns in A is equal to the number of rows in** 5. Remark. The above definition is likely to seem artificially contrived to a reader who comes across... | |
| E. C. Pielou, Pielou - Science - 1984 - 263 pages
...column in which it occurs. of the elements in the /th row of A and the y th column of B. Hence AB exists **only if the number of columns in A is equal to the number of rows in B;** AB has the same number of rows as A and the same number of columns as B; AB is A postmultiplied by... | |
| Pandit - 2001
...in the second matrix. la other words, two matrices are said to be conformable in the order [a] [b] **if the number of columns in [a] is equal to the number of rows in [b].** (ii) If a matrix of order pxq is postmultiplied by a matrix of order qXr, the order of the product... | |
| P. B. Bhattacharya, S. K. Jain, S. R. Nagpaul - Mathematics - 1994 - 487 pages
...c'j = 2 U'*V i1'«/) em X p. *-l Note that matrices A and B can be multiplied (in that order) if and **only if the number of columns in A is equal to the number of rows in B.** Let us define the dot product of two «-tuples of elements of Fas follows. Given a = (a¡ ,...,a„)... | |
| J. E. Akin - Finite element method - 1994 - 548 pages
...B = cA are given by b^ = ca^. Two matrices A and B can be multiplied together in order AB only when **the number of columns in A is equal to the number of rows in B** . When this condition is fulfilled, the matrices A and B are said to be conformable for multiplication.... | |
| R. S. Soni - Business mathematics - 1996 - 790 pages
...while the product BA does not exist. Remarks : 1. The product AB of two matrices A and B exists if and **only if the number of columns in A is equal to the number of rows in B.** Two such matrices are said to be Conformable for multiplication. 2. To obtain the (/, k) element of... | |
| Amin Ghali, Adam M. Neville - Technology & Engineering - 1997 - 864 pages
...matrix [e], in which any element e^ — aatr Multiplication of two matrices [a] and [6] is possible **only if the number of columns in [a] is equal to the number of rows in** [6]. The multiplication results in a matrix [c] which has the same number of rows as [a] and the same... | |
| Colin Hansen, Scott Snyder - Architecture - 1996 - 1288 pages
...A3 MULTIPLICATION OF MATRICES Two matrices A and B can be multiplied together to form the product AB **if the number of columns in A is equal to the number of rows in B.** If, for example, A is an (mxp) matrix, and B is a (pxn) matrix, then the product AB is defined by C... | |
| |