ChatGPT, an AI language model developed by OpenAI, is not reliable in solving linear algebra problems due to its limited mathematical knowledge, lack of contextual understanding, inability to handle symbolic expressions, and limited problem-solving skills. While ChatGPT is impressive in generating responses for a wide range of natural language queries, it lacks the expertise of a human with a solid background in linear algebra. Therefore, it's essential to use human expertise or specialized software designed specifically for linear algebra to solve these types of problems accurately.