Question: Help me solve this question on paper : 2. Prove the following: Let A be an m x n matrix. If A has a pivot

Help me solve this question on paper :

2. Prove the following: Let A be an m x n matrix. If A has a pivot position in every row then for each b E Rm, the equation Ax = b has a solution. Hint: This closely resembles a known theorem, but you cannot prove the statement by citing the theorem. Use definitions to establish the statement

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