Question: Exercise 3[8 marks]. Let V=R22 be the vector space of all 22 matrices. Let W1 be the set of matrices of the form [xyxz], and

 Exercise 3[8 marks]. Let V=R22 be the vector space of all

Exercise 3[8 marks]. Let V=R22 be the vector space of all 22 matrices. Let W1 be the set of matrices of the form [xyxz], and W2 set of matrices of the form [aabc]. a. Find W1W2. b. Find a basis and dimention of W1W2. Exercise 4 [12 marks], Let V be the vector space of all functions from R into R; let Vr be the subsct of even functions and V0 be the subset of odd functions. 8. Prove that Vn and Va are subspaces of V. (Do only one case). b. Prove that VeVo{0}. c. Prove that V=Vc+V0

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