How do you find the orthogonal complement of a vector space.

Well I do know that the orthogonal complement needs to have vectors that are orthogonal to the vectors in the Vector so I'm thinking of setting up a Matrix multiplication of the spaces and see when I get zero. Any clues?

Question

How do you find the orthogonal complement of a vector space.

Well I do know that the orthogonal complement needs to have vectors that are orthogonal to the vectors in the Vector so I'm thinking of setting up a Matrix multiplication of the spaces and see when I get zero. Any clues?

anonymous · Answer

If we think of matrix multiplication as a collection of dot products then if

        Ax  =  0

then x is orthogonal to each of the rows of A

anonymous · Answer

whoops sorry wrong question. Let me post a new one.