Question: 1. Definitions. State precisely the following definitions. One point each. (a) The basis of a subspace H of a vector space V. (b) The nullspace

1. Definitions. State precisely the following definitions. One point each. (a) The basis of a subspace H of a vector space V. (b) The nullspace of a matrix A. (c) The column space of a matrix A. (d) The dimension of a vector space V spanned by a finite set. (e) The rank of a matrix A. (f) The nullity of a matrix A. (g) The eigenvector and eigenvalue of an n x n matrix A

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