A guide to MATLAB by Brian R. Hunt, Ronald L. Lipsman, Jonathan M. Rosenberg,

By Brian R. Hunt, Ronald L. Lipsman, Jonathan M. Rosenberg, with Kevin R. Coombes, John E. Osborn, and Garrett J. Stuck

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If you have the line keyboard in your M-file, then when MATLAB reaches it, execution of your program is interrupted, and a new prompt appears with the letter K before it. At this point you can type any normal MATLAB command. This is useful if you want to examine or reset some variables in the middle of a script run. , type the six letters r-e-t-u-r-n and press the ENTER key. r In some cases, you might prefer input. For example, if you include the line var = input(’Input var here: ’) in your script, when MATLAB gets to that point it will print “Input var here:” and pause while you type the value to be assigned to var.

The others do not. 1. Compute: (a) 1111 − 345. (b) e14 and 382801π to 15 digits each. Which is bigger? (c) the fractions 2709/1024, 10583/4000, and 2024/765. Which of these √ is the best approximation to 7? 2. 1). (b) ln(2). ) (c) arctan(1/2). ) 3. Solve (symbolically) the system of linear equations   3x + 4y + 5z = 2 2x − 3y + 7z = −1  x − 6y + z = 3. Check your answer using matrix multiplication. 4. Try to solve the system of linear equations   3x − 9y + 8z = 2 2x − 3y + 7z = −1  x − 6y + z = 3.

8 -1 0 Figure 3-1 1 2 3 4 5 6 7 Presenting Your Results 45 Let’s analyze this solution. We start by defining the values to use on the x axis. The command close all removes all existing graphics windows; axes starts a fresh, empty graphics window; and hold on lets MATLAB know that we want to draw several curves on the same set of axes. The lines between for and end constitute a for loop, as described above. The important part of the loop is the plot command, which plots the desired sine curves. We inserted an echo off command so that we only see the loop commands once in the Command Window (or in a diary file).

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