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Find the 3 * 3 matrix A corresponding to orthogonal projection onto the solution space of...

Find the 3 * 3 matrix A corresponding to orthogonal projection onto the solution
space of the system below.
2x + 3y + z = 0;
x - 3y - z = 0:
Your solution should contain the following information: (a) The eigenvector(s) of
A that is (are) contained in the solution space; (b) The eigenvector(s) of A that
is (are) perpendicular to the solution space; (c) The corresponding eigenvalues for
those eigenvectors.

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