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site hosting site hosting Here's how the elements in a four by five array called M are referred to: M[0][0]M[0][1]M[0][2]M[0][3]M[0][4] M[1][0]M[1][1]M[1][2]M[1][3]M[1][4] M[2][0]M[2][1]M[2][2]M[2][3]M[2][4] M[3][0]M[3][1]M[3][2]M[3][3]M[3][4] Declaring, Allocating and Initializing Two Dimensional ArraysTwo dimensional arrays are declared, allocated and initialized much like one dimensional arrays. However we have to specify two dimensions rather than one, and we typically use two nested for loops to fill the array.The array examples above are filled with the sum of their row and column indices. Here's some code that would create and fill such an array:class FillArray { public static void main (String args[]) { int[][] M; M = new int[4][5]; for (int row=0; row < 4; row++) { for (int col=0; col < 5; col++) { M[row][col] = row+col; } } } }Of course the algorithm you would use to fill the array depends completely on the use to which the array is to be put. Here is a program which calculates the identity matrix for a given dimension.

site hosting The identity matrix of dimension N is a square matrix which contains ones along the diagonal and zeros in all other positions.class IDMatrix { public static void main (String args[]) { double[][] ID; ID = new double[4][4]; for (int row=0; row < 4; row++) { for (int col=0; col < 4; col++) { if (row != col) { ID[row][col]=0.0; } else { ID[row][col] = 1.0; } } } } }In two-dimensional arrays ArrayIndexOutOfBounds errors occur whenever you exceed the maximum column index or row index. Unlike two-dimensional C arrays, two-dimensional Java arrays are not just one-dimensional arrays indexed in a funny way.

site hosting Exercises Write a program to generate the HTML for the above tables. Multidimensional ArraysYou don't have to stop with two dimensional arrays. Java lets you have arrays of three, four or more dimensions. However chances are pretty good that if you need more than three dimensions in an array, you're probably using the wrong data structure. Even three dimensional arrays are exceptionally rare outside of scientific and engineering applications.

site hosting The syntax for three dimensional arrays is a direct extension of that for two-dimensional arrays. Here's a program that declares, allocates and initializes a three-dimensional array:class Fill3DArray { public static void main (String args[]) { int[][][] M; M = new int[4][5][3]; for (int row=0; row < 4; row++) { for (int col=0; col < 5; col++) { for (int ver=0; ver < 3; ver++) { M[row][col][ver] = row+col+ver; } } } } } We need three nested for loops here to handle the extra dimension. The syntax for still higher dimensions is similar. Just add another pair pf brackets and another dimension.Unbalanced ArraysLike C Java does not have true multidimensional arrays.

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