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Moore–Penrose inverse
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===Existence and uniqueness=== As discussed above, for any matrix {{tmath| A }} there is one and only one pseudoinverse {{tmath| A^+ }}.<ref name="GvL1996"/> A matrix satisfying only the first of the conditions given above, namely <math display="inline">A A^+ A = A</math>, is known as a generalized inverse. If the matrix also satisfies the second condition, namely <math display="inline">A^+ A A^+ = A^+</math>, it is called a [[generalized inverse#Types of generalized inverses|generalized ''reflexive'' inverse]]. Generalized inverses always exist but are not in general unique. Uniqueness is a consequence of the last two conditions.
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