Page 366 - 35Linear Algebra
P. 366

366                                                                          Sample Final Exam


                                       Then
                                                                                        
                                                             34   0 10                   34
                                                    T
                                                                                 T
                                                  M M =      0 10    0   and M V =    −6   .
                                                             10   0   4                  10
                                       So
                                                                         2                      
                                           34   0 10    34        1   0          1       1 0 0      1
                                                                            5
                                            0 10    0 −6     ∼    0 10      0 −6     ∼   0 1 0 −    3
                                                                                               5  
                                           10   0   4   10        0   0 −  18    0       0 0 1      0
                                                                           5
                                                                               3
                                       The least squares solution is a = 1, b = − and c = 0.
                                                                               5
                                                                         3
                                                                     2
                                   (b) The Captain predicts y(2) = 1.2 − .2 + 0 =  14 .
                                                                         5         5
                              18.













































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