Basics of MATLAB and Beyond

The (x, y) pairs can be split into two matrices:⎛⎞ ⎛1 2 3 4x = ⎜ 1 2 3 4⎟⎝ 1 2 3 4 ⎠ ; y = ⎜⎝1 2 3 41 1 1 12 2 2 23 3 3 34 4 4 4⎞⎟⎠ .The matrix x varies along its columns and y varies down its rows. Wedefine the surface z:z = √ x 2 + y 2 ;which is the distance of each (x, y) point from the origin (0, 0). Tocalculate z in matlab for the x and y matrices given above, we beginby using the meshgrid function, which generates the required x and ymatrices:>> [x,y] = meshgrid(1:4)x =1 2 3 41 2 3 41 2 3 41 2 3 4y =1 1 1 12 2 2 23 3 3 34 4 4 4Now we simply convert our distance equation to matlab notation; z =√x2 + y 2 becomes:>> z = sqrt(x.^2 + y.^2)z =1.4142 2.2361 3.1623 4.12312.2361 2.8284 3.6056 4.47213.1623 3.6056 4.2426 5.00004.1231 4.4721 5.0000 5.6569c○ 2000 by CRC Press LLC