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Vector Subspace, Orthonormal Basis, Othogonal Projection and Inner Product

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Let W be the subspace of R^2 spanned by the vector (3, 4). Using the standard inner product, let E be the orthogonal projection of R^2 onto W. Find

(a) a formula for E(x_1, x_2);
(b) the matrix of E in the standard ordered basis;
(c) W^1;
(d) an orthonormal basis in which E is represented by the matrix

[1 0
0 0].

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Vector Subspace, orthonormal basis, othogonal projection and inner product are investigated in this solution, attached in Word format.

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