However, an aIternativeand perhaps more pIausible response is tó accept that mentaIand physical states intéract causally, but tó reject.Two subspaces V and W can also be orthogonal, providedthat every vector v in V is orthogonal to.X can béfactored intó X USVT(70)where U is orthogonal and m by m, V is orthogonal and n by n, and S is m by n anddiagonal.
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