Page 11 - Engineering Mathematics Workbook_Final
P. 11

Linear Algebra

                      +
                     1 a  1      a 2 .................a n
                                  +
                       a        1 a    .............a
            45.         1             2          n
                    ............ ...............................
                                              +
                       a         a          1 a
                        1         2              n
                                            [NBHM 2009]

                                            1 
            46.    Given that the matrix           has an
                                            2 3  

                   Eigen value 1, compute trace and its
                   determinant.

                                            [NBHM 2009]

            47.    Let    ∈    (  ) such that trace
                             2
                            2
                   cos A=  and det A = 3. The
                   characteristic Polynomial of  A =
                                                 −
                                                  1
                   _________
                                            [NBHM 2005]














































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