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| Matrices and Magic Squares | ||||||||
| and sum(diag(A)) produces ans = 34 The other diagonal, the so-called antidiagonal, is not so important mathematically, so MATLAB does not have a ready-made function for it. But a function originally intended for use in graphics, fliplr,flips amatrix from left to right: sum(diag(fliplr(A))) ans = 34 You have verified that the matrix in Durer's engraving is indeed a magic square and, in the process, have sampled a few MATLAB matrix operations. The following sections continue to use this matrix to illustrate additional MATLAB capabilities. | ||||||||
| Subscripts The element in row i and column j of A is denoted by A(i,j). For example, A(4,2) is the number in the fourth row and second column. For our magic square, A(4,2) is 15. So to compute the sum of the elements in the fourth column of A,type A(1,4) + A(2,4) + A(3,4) + A(4,4) This produces ans = 34 but is not the most elegant way of summing a single column. It is also possible to refer to the elements of a matrix with a single subscript, A(k). This is the usual way of referencing row and column vectors. But it can also apply to a fully two-dimensional matrix, in which case the array is | ||||||||
| 2-7 | ||||||||