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(i) Let u= (u1,u2) and v= (v1,v2). Show that the following is an inner product by...

(i) Let u= (u1,u2) and v= (v1,v2). Show that the following is an inner product by verifying that the inner product hold

<u,v>= 4u1v1 + u2v2 +4u2v2

(ii) Let u= (u1, u2, u3) and v= (v1,v2,v3). Show that the following is an inner product by verifying that the inner product hold

<u,v> = 2u1v1 + u2v2 + 4u3v3

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