- 1 Let V Be An Inner Product Space With Inner Product Show That If C Is A Scalar And U And V Are In V Then U Cu 1 (14.48 KiB) Viewed 35 times
1. Let V be an inner product space with <, > inner product. Show that if c is a scalar and u and v are in V, then
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1. Let V be an inner product space with <, > inner product. Show that if c is a scalar and u and v are in V, then
1. Let V be an inner product space with <, > inner product. Show that if c is a scalar and u and v are in V, then <u, cu >=c<u,v >. Hint: use the four properties that an inner product has. 2. If vectors u and v are in V and they are orthogonal, calculate < 4u, v >.
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