mat 322 spring 18 homework 7 due tuesday april 3 the rst two problems are taken from m spivak calculus on manifolds 1 if m is a k dimensional manifold ...
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...Mat spring homework due tuesday april the rst two problems are taken from m spivak calculus on manifolds if is a k dimensional manifold with boundary in rn prove that and both let t be self adjoint matrix so x ij ji i j f ht xi aijx show n kj byconsidering maximum of sn there an r such b for as v y hx yi c has orthonormal basis by eigenvectors do section p munkres text...