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11. Repeat Problem 4 but use Mathematica. 12. Repeat Problem 6 but use Mathematica.

QUICKBASIC VERSION © 2001 by CRC Press LLC Sample Application FORTRAN VERSION © 2001 by CRC Press LLC © 2001 by CRC Press LLC Sample Applications MATLAB APPLICATION MATLAB offers very simple matrix operations. For example, matrix inversion can be implemented as: To check if the obtained inversion indeed satisfies the equation [A}[A]–1 = [I] where [I] is the identity matrix, we enter: Once [A]–1 becomes available, we can solve the vector {X} in the matrix equation [A]{X} = {R} if {R} is prescribed, namely {X} = [A]–1{R}.

The MATLAB command pause enables Figure 4 to be read and requires the viewer to press any key on the keyboard to commence the animation. Notice that a statement begins with a % character making that a comment statement, and that % can also be utilized for spacing purpose. The xs and ys arrays allow the graphic window to be scaled by plotting them and then held (by command hold) so that all subsequent plots are using the same © 2001 by CRC Press LLC FIGURE 6. Animation of a rotating brick. scales in both x- and y-directions.

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