Page 811 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition
P. 811

(d) ,

     Which of the following sets of vectors are bases for ?
26.

     (a) , ,

     (b) ,       ,

     (c) , ,

     (d) ,    ,

In Exercises 27–30, determine the dimension of and a basis for the solution space of the system.

27.

28.

29.

30.                                                                    is a subspace of the vector space of

     Prove: If u and v are vectors in complex Euclidean n-space, then
31.

32.
         (a) Prove part (b) of Theorem 10.4.1.

         (b) Prove part (c) of Theorem 10.4.1.

     Establish the identity
33.

     for vectors in complex Euclidean n-space.

34. (For Readers Who Have Studied Calculus) Prove that complex
   806   807   808   809   810   811   812   813   814   815   816