MTH501 - Linear Algebra Assignment No. 3 Solution and Discussion Spring 2014 Due Date: Jun 30, 2014

MTH501 - Linear Algebra Assignment No. 3 Solution and Discussion Spring 2014 of Virtual University (VU) Due Date: Jun 30, 2014

Question: 01                                                                                                                            Marks: 10
Without expansion (until you reduce it to  order), by using the properties of Determinants, show that

Question: 02                                                                                                                             Marks: 10
Show that the vectors  and  in  are Linearly Dependent over Field  but Linearly Independent over , where  .

Question: 03                                                                                                                           Marks: 10
Let  be an   matrix. Then Show that the set,  is a Subspace of