Please refer a problem book on linear algebra containing the following topics:
Vector spaces, linear dependence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, range space and null space, rank-nullity theorem; eigenvalues and eigenvectors, Cayley-Hamilton theorem; symmetric, skew-symmetric, hermitian, skew-hermitian, orthogonal and unitary matrices.
I have already done Schaum's 3000 solved problems on linear algebra, but I need one more problem book to solve in order to be confident to sit for my exam. I don't need a proof oriented problem book; my focus is to solve problems which are applications of theorems
Please provide your suggestions. Thanks.