Matrix3f m = Matrix3f::Random();
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Matrix3f y = Matrix3f::Random();
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cout << "Here is the matrix m:" << endl << m << endl;
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cout << "Here is the matrix y:" << endl << y << endl;
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Matrix3f x;
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x = m.colPivHouseholderQr().solve(y);
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assert(y.isApprox(m*x));
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cout << "Here is a solution x to the equation mx=y:" << endl << x << endl;
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