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