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diff --git a/compiler/loco/include/loco/IR/MatrixIndex.h b/compiler/loco/include/loco/IR/MatrixIndex.h
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+/*
+ * Copyright (c) 2019 Samsung Electronics Co., Ltd. All Rights Reserved
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *    http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __LOCO_IR_MATRIX_INDEX_H__
+#define __LOCO_IR_MATRIX_INDEX_H__
+
+#include <cstdint>
+
+namespace loco
+{
+
+/**
+ * @brief Matrix Index
+ *
+ * Matrix Index indicates an "element" in a given Matrix
+ *
+ * Let us assume that there is a Matrix F and S denotes its shape (of MatrixShape type).
+ *
+ * Then, any valid Matrix index I satisfies the following invariants:
+ * - 0 <= I.row()     < S.height()
+ * - 0 <= I.column()  < S.width()
+ */
+class MatrixIndex final
+{
+public:
+  MatrixIndex() = default;
+
+public:
+  const uint32_t &row(void) const { return _row; }
+  uint32_t &row(void) { return _row; }
+
+  const uint32_t &column(void) const { return _column; }
+  uint32_t &column(void) { return _column; }
+
+private:
+  uint32_t _row = 0;
+  uint32_t _column = 0;
+};
+
+} // namespace loco
+
+#endif // __LOCO_IR_MATRIX_INDEX_H__