diff --git a/modules/core/src/arithm.cpp b/modules/core/src/arithm.cpp
index 604b13101d..fbc4959253 100644
--- a/modules/core/src/arithm.cpp
+++ b/modules/core/src/arithm.cpp
@@ -168,7 +168,7 @@ static void binary_op( InputArray _src1, InputArray _src2, OutputArray _dst,
 
     if( dims1 <= 2 && dims2 <= 2 && kind1 == kind2 && sz1 == sz2 && type1 == type2 && !haveMask )
     {
-        _dst.create(sz1, type1);
+        _dst.createSameSize(*psrc1, type1);
         CV_OCL_RUN(use_opencl,
                    ocl_binary_op(*psrc1, *psrc2, _dst, _mask, bitwise, oclop, false))
 
@@ -1225,7 +1225,7 @@ void cv::compare(InputArray _src1, InputArray _src2, OutputArray _dst, int op)
     if( kind1 == kind2 && src1.dims <= 2 && src2.dims <= 2 && src1.size() == src2.size() && src1.type() == src2.type() )
     {
         int cn = src1.channels();
-        _dst.create(src1.size(), CV_8UC(cn));
+        _dst.createSameSize(src1, CV_8UC(cn));
         Mat dst = _dst.getMat();
         Size sz = getContinuousSize2D(src1, src2, dst, src1.channels());
         BinaryFuncC cmpFn = getCmpFunc(depth1);
diff --git a/modules/core/src/minmax.cpp b/modules/core/src/minmax.cpp
index 96a7d027ad..d1ef797cda 100644
--- a/modules/core/src/minmax.cpp
+++ b/modules/core/src/minmax.cpp
@@ -1565,13 +1565,24 @@ void cv::minMaxLoc( InputArray _img, double* minVal, double* maxVal,
 {
     CV_INSTRUMENT_REGION();
 
-    CV_Assert(_img.dims() <= 2);
+    int dims = _img.dims();
+    CV_CheckLE(dims, 2, "");
 
     minMaxIdx(_img, minVal, maxVal, (int*)minLoc, (int*)maxLoc, mask);
     if( minLoc )
-        std::swap(minLoc->x, minLoc->y);
+    {
+        if (dims == 2)
+            std::swap(minLoc->x, minLoc->y);
+        else
+            minLoc->y = 0;
+    }
     if( maxLoc )
-        std::swap(maxLoc->x, maxLoc->y);
+    {
+        if (dims == 2)
+            std::swap(maxLoc->x, maxLoc->y);
+        else
+            maxLoc->y = 0;
+    }
 }
 
 enum class ReduceMode
diff --git a/modules/core/test/test_mat.cpp b/modules/core/test/test_mat.cpp
index 68de691260..9f4711a816 100644
--- a/modules/core/test/test_mat.cpp
+++ b/modules/core/test/test_mat.cpp
@@ -2354,6 +2354,96 @@ TEST(Mat, regression_18473)
     EXPECT_EQ((int)5, (int)m.at<short>(19, 49, 99));
 }
 
+// FITIT: remove DISABLE_ when 1D Mat is supported
+TEST(Mat1D, DISABLED_basic)
+{
+    std::vector<int> sizes { 100 };
+    Mat m1(sizes, CV_8UC1, Scalar::all(5));
+    m1.at<uchar>(50) = 10;
+    EXPECT_FALSE(m1.empty());
+    ASSERT_EQ(1, m1.dims);
+    ASSERT_EQ(1, m1.size.dims());  // hack map on .rows
+    EXPECT_EQ(Size(100, 1), m1.size());
+
+    {
+        SCOPED_TRACE("clone");
+        Mat m = m1.clone();
+        EXPECT_EQ(1, m.dims);
+        EXPECT_EQ(Size(100, 1), m.size());
+    }
+
+    {
+        SCOPED_TRACE("colRange()");
+        Mat m = m1.colRange(Range(10, 30));
+        EXPECT_EQ(1, m.dims);
+        EXPECT_EQ(Size(20, 1), m.size());
+    }
+
+    {
+        SCOPED_TRACE("reshape(1, 1)");
+        Mat m = m1.reshape(1, 1);
+        EXPECT_EQ(1, m.dims);
+        EXPECT_EQ(Size(100, 1), m.size());
+    }
+
+    {
+        SCOPED_TRACE("reshape(1, 100)");
+        Mat m = m1.reshape(1, 100);
+        EXPECT_EQ(2, m.dims);
+        EXPECT_EQ(Size(1, 100), m.size());
+    }
+
+    {
+        SCOPED_TRACE("reshape(1, {1, 100})");
+        Mat m = m1.reshape(1, {1, 100});
+        EXPECT_EQ(2, m.dims);
+        EXPECT_EQ(Size(100, 1), m.size());
+    }
+
+    {
+        SCOPED_TRACE("copyTo(std::vector<uchar>)");
+        std::vector<uchar> dst;
+        m1.copyTo(dst);
+        EXPECT_EQ(100u, dst.size());
+    }
+
+    {
+        SCOPED_TRACE("copyTo(row2D)");
+        Mat m(5, 100, CV_8UC1, Scalar::all(0));
+        const Mat row2D = m.row(2);
+        EXPECT_NO_THROW(m1.copyTo(row2D));
+    }
+
+    {
+        SCOPED_TRACE("convertTo(row2D)");
+        Mat m(5, 100, CV_32FC1, Scalar::all(0));
+        const Mat row2D = m.row(2);
+        EXPECT_NO_THROW(m1.convertTo(row2D, CV_32FC1));
+    }
+
+    {
+        SCOPED_TRACE("CvMat");
+        CvMat c_mat = cvMat(m1);
+        EXPECT_EQ(100, c_mat.cols);
+        EXPECT_EQ(1, c_mat.rows);
+    }
+
+    {
+        SCOPED_TRACE("CvMatND");
+        CvMatND c_mat = cvMatND(m1);
+        EXPECT_EQ(2, c_mat.dims);
+        EXPECT_EQ(100, c_mat.dim[0].size);
+        EXPECT_EQ(1, c_mat.dim[1].size);
+    }
+
+    {
+        SCOPED_TRACE("minMaxLoc");
+        Point pt;
+        minMaxLoc(m1, 0, 0, 0, &pt);
+        EXPECT_EQ(50, pt.x);
+        EXPECT_EQ(0, pt.y);
+    }
+}
 
 TEST(Mat, ptrVecni_20044)
 {