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48:49 Lecture 2 Dual spaces Lecture 2 Dual spaces	Lecture 2 Dual spaces Introduces dual spaces and the dual of a linear map. dual space dual map transpose From Rakesh Rakesh 0 likes 3 plays 0 Department Name Mathematical Sciences Date Established January 06, 2022
09:47 FNC Section 3.4 FNC Section 3.4	FNC Section 3.4 matrix factorization column matrix vector zeros equation reflector theta identity factorization householder point difference axis p. transpose cancellation p2 a. p1 definition From Tobin Driscoll 0 likes 33 plays 0
01:20:23 Regularity up to the boundary I Regularity up to the boundary I	Regularity up to the boundary I 11995 times transpose phi solution variables change things functions operator delta tilde proof norm psi matrix derivatives determinant thing l2 boundary From Rakesh Rakesh 0 likes 2 plays 0