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Equation : Orthogonal projection of y onto S for an orthonormal basis Using this equation, we plug the values that we have for vectors v 1, v 2 v_1, v_2 v 1 , v 2 and y y y in order to calculate the projection vector y ^ \hat{y} y ^ : Equation 11: Computing orthogonal projection of y onto Span {v 1, v 2} Example 3. Orthogonal Projection Calculator. Given a basis (in the form of a list of vectors) for a subspace in R n, this program calculates the matrix of the orthogonal projection onto that basis.The program accomplishes this by 1) using the Gram-Schmidt process to find an.

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