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Text version of the page
| Systems of Linear Equations | |||||||||||||||||||||||||||||||||||||||||||||
| -1.0000 4.0000 2.0000 you do not get back the original vector b. You can determine whether AX = b has an exact solution by finding the row reduced echelon form of the augmented matrix [A b]. Todosoforthis example, enter rref([A b]) ans = 1.0000 0 2.2857 0 0 1.0000 1.5714 0 0 0 0 1.0000 Since the bottom row contains all zeros except for the last entry, the equation does not have a solution. In this case, pinv(A) returns a least-squares solution. | |||||||||||||||||||||||||||||||||||||||||||||
| Overdetermined Systems Overdetermined systems of simultaneous linear equations are often encountered in various kinds of curve fitting to experimental data. Here is a hypothetical example. A quantity y is measured at several different values of time, t, to produce the following observations: | |||||||||||||||||||||||||||||||||||||||||||||
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| Enter the data into MATLAB with the statements | |||||||||||||||||||||||||||||||||||||||||||||
| 1-19 | |||||||||||||||||||||||||||||||||||||||||||||