Prove that if the matrix has a right inverse, then for each the equation has at least one solution. If has a left inverse, then that equation has at most one solution.
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Originally Posted by mathwizard Prove that if the matrix has a right inverse, then for each the equation has at least one solution. let with identity matrix. then i.e. satisfies so there's at least one solution. If has a left inverse, then that equation has at most one solution. let and suppose that then so has at most one solution.
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