diff --git a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt
index 9e1c3942c..8aa3ee76b 100644
--- a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt
+++ b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt
@@ -841,7 +841,7 @@ public open class DoubleTensorAlgebra :
         val size = tensor.dimension
         val commonShape = tensor.shape.sliceArray(0 until size - 2)
         val (n, m) = tensor.shape.sliceArray(size - 2 until size)
-        val uTensor = zeros(commonShape + intArrayOf(m, n))
+        val uTensor = zeros(commonShape + intArrayOf(n, m))
         val sTensor = zeros(commonShape + intArrayOf(m))
         val vTensor = zeros(commonShape + intArrayOf(m, m))
 
@@ -863,7 +863,7 @@ public open class DoubleTensorAlgebra :
                 iterations, epsilon)
         }
 
-        return Triple(uTensor.transpose(), sTensor, vTensor)
+        return Triple(uTensor, sTensor, vTensor)
     }
 
     /**
diff --git a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/internal/linUtils.kt b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/internal/linUtils.kt
index 825c15006..bb75d1069 100644
--- a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/internal/linUtils.kt
+++ b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/internal/linUtils.kt
@@ -647,9 +647,9 @@ internal fun MutableStructure2D<Double>.svdGolubKahanHelper(u: MutableStructure2
         }
     }
 
-    for (i in 0 until m) {
-        for (j in 0 until n) {
-            u[j, i] = this[i, j]
+    for (i in 0 until n) {
+        for (j in 0 until m) {
+            u[j, i] = this[j, i]
         }
     }
 }