Question: !uestion 10 (8 marks) (a) Let A be an arbitrary 2 x 2 matrix. (i) Determine the characteristic equation of A. (ii) Show that the

 !uestion 10 (8 marks) (a) Let A be an arbitrary 2

!uestion 10 (8 marks) (a) Let A be an arbitrary 2 x 2 matrix. (i) Determine the characteristic equation of A. (ii) Show that the characteristic equation of A can be written as A2 'I'r(A))\\ + det(A) = 0. (b) Let V be a real vector space equipped with an inner product (u,v). Using the inner

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