Math 060 092517 Adjoint Matrix, Subspaces

Definition of adjoint matrix. Connection with inverse matrix (via "wrong cofactor lemma"). Example. Subspaces: recall main theorem (how verify a subset is a subspace: check closure under vector space operations). Null space. The null space is a subspace. Example of determining the null space of a matrix. Recall: span. Exercise: the span is a subspace. Exercise: is the span all of R^3?

[MATHSFORIITJEEMAINSANDADVANCED]

Winston really you are very good professor... By the way I am also maths lecturer pursuing PhD on Banach spaces

[sayantan]

Dear Professor, can you please direct me to the lecture where you have introduced and defined the notion of an abstract vector space. The Subspace part seems to be a continuation from there.