Question: Is the following statement true or false? Justify your answer with the fullest possible details. Problem 2. Is the following statement true or false? Justify

Is the following statement true or false? Justify your answer with the fullest possible details.

Problem 2. Is the following statement true or false? Justify your ansWer with the fullest possible details. If A e R\" is invertible, there always exists an invertible upper triangular matrix B such that AB is orthogonal and an invertible lower triangular matrix C such that CA is orthogonal

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