V is a subspace of inner-product space R3, generated
by vector
u =[1 1 2]T and v
=[...
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V is a subspace of inner-product space R3, generatedby vector
u =[1 1 2]T and v=[ 2 2 3]T.
T is transpose
(1) Find its orthogonal complement space V? ;
(2) Find the dimension of space W = V+ V?;
(3) Find the angle q between u andv; also the angle b betweenu and normalized x with respectto its 2-norm.
(4) Considering v’ =av, a is a scaler, show theangle q’ between u andv’
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Problem 1Note that and are nonzero vectorsand one is not a scalar multiple of anotherSInceso This is a sideremark if you know thatThen ie the orthogonal complement of is one dimensionalSo any non zero vector in is abasis of Continuing
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