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/examples/TutorialLinAlgRankRevealing.cpp b/doc/examples/TutorialLinAlgRankRevealing.cpp
new file mode 100644
index 0000000..c516507
--- /dev/null
+++ b/doc/examples/TutorialLinAlgRankRevealing.cpp
@@ -0,0 +1,20 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+ Matrix3f A;
+ A << 1, 2, 5,
+ 2, 1, 4,
+ 3, 0, 3;
+ cout << "Here is the matrix A:\n" << A << endl;
+ FullPivLU<Matrix3f> lu_decomp(A);
+ cout << "The rank of A is " << lu_decomp.rank() << endl;
+ cout << "Here is a matrix whose columns form a basis of the null-space of A:\n"
+ << lu_decomp.kernel() << endl;
+ cout << "Here is a matrix whose columns form a basis of the column-space of A:\n"
+ << lu_decomp.image(A) << endl; // yes, have to pass the original A
+}