diff --git a/Eigen/src/SVD/JacobiSVD.h b/Eigen/src/SVD/JacobiSVD.h
index 2f7ebb160..5792c5767 100644
--- a/Eigen/src/SVD/JacobiSVD.h
+++ b/Eigen/src/SVD/JacobiSVD.h
@@ -294,8 +294,6 @@ JacobiSVD<MatrixType, Options>& JacobiSVD<MatrixType, Options>::compute(const Ma
   int rows = matrix.rows();
   int cols = matrix.cols();
   int diagSize = std::min(rows, cols);
-  if(ComputeU) m_matrixU = MatrixUType::Zero(rows,rows);
-  if(ComputeV) m_matrixV = MatrixVType::Zero(cols,cols);
   m_singularValues.resize(diagSize);
   const RealScalar precision = 2 * epsilon<Scalar>();
 
@@ -303,8 +301,8 @@ JacobiSVD<MatrixType, Options>& JacobiSVD<MatrixType, Options>::compute(const Ma
   && !ei_svd_precondition_if_more_cols_than_rows<MatrixType, Options>::run(matrix, work_matrix, *this))
   {
     work_matrix = matrix.block(0,0,diagSize,diagSize);
-    if(ComputeU) m_matrixU.diagonal().setOnes();
-    if(ComputeV) m_matrixV.diagonal().setOnes();
+    if(ComputeU) m_matrixU.setIdentity(rows,rows);
+    if(ComputeV) m_matrixV.setIdentity(cols,cols);
   }
 
   bool finished = false;