Question: 1. Let 1 W 4 A=]01 -2 1 01 -2 -1 (a) Determine the rank of A. (b) Determine the nullity of A. (c) Find

1. Let 1 W 4 A=]01 -2 1 01 -2 -1 (a) Determine the rank of A. (b) Determine the nullity of A. (c) Find a basis for the column space of A. (d) Find a basis for the null space of A. (e) Give a geometric description of the null space of A. (f) The matrix A defines a linear map between two vector spaces. What are these vector spaces and how is the map defined? (g) Is the linear map in (f) onto? That is, under this map, is every vector in the codomain the image of vector in the domain

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