Squashed 'third_party/eigen/' content from commit 61d72f6

Change-Id: Iccc90fa0b55ab44037f018046d2fcffd90d9d025
git-subtree-dir: third_party/eigen
git-subtree-split: 61d72f6383cfa842868c53e30e087b0258177257
diff --git a/doc/snippets/EigenSolver_pseudoEigenvectors.cpp b/doc/snippets/EigenSolver_pseudoEigenvectors.cpp
new file mode 100644
index 0000000..85e2569
--- /dev/null
+++ b/doc/snippets/EigenSolver_pseudoEigenvectors.cpp
@@ -0,0 +1,9 @@
+MatrixXd A = MatrixXd::Random(6,6);
+cout << "Here is a random 6x6 matrix, A:" << endl << A << endl << endl;
+
+EigenSolver<MatrixXd> es(A);
+MatrixXd D = es.pseudoEigenvalueMatrix();
+MatrixXd V = es.pseudoEigenvectors();
+cout << "The pseudo-eigenvalue matrix D is:" << endl << D << endl;
+cout << "The pseudo-eigenvector matrix V is:" << endl << V << endl;
+cout << "Finally, V * D * V^(-1) = " << endl << V * D * V.inverse() << endl;