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2.31 List all pairs (rank(h), nullity(h)) that are possible for linear maps from R5 to R3 . 2.32 Does the dierentiation map d/dx : Pn Pn have an

2.31 List all pairs (rank(h), nullity(h)) that are possible for linear maps from R5 to R3 . 2.32 Does the dierentiation map d/dx : Pn Pn have an inverse?

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