Let b be a vector in and W be a subspace of spanned by the vectors . To find orthogonal projection of b onto W denoted by form a matrix A whose columns are the vectors then solve the normal s ystem . If x is the solution vector then Ax is the orthogonal projection of b onto W.
Orthogonal Projection or onto W
Let W be a subspace of spanned by the basis vectors . To find orthogonal projection of onto W denoted by [P] form a matrix A whose columns are the vectors then transformation is called the orthogonal projection of onto W.