TITLE: Hard problems book in linear algebra
QUESTION [6 upvotes]: Could you suggest me a book where I can find hard problems in Linear Algebra for an undergraduate student? Thanks in advance.

REPLY [5 votes]: Some of them are quite advanced:

Richard Bellman, Introduction to Matrix Analysis, McGraw-Hill, 1960.
Felix R. Gantmacher, Theory of Matrices, vol. I & II, Chelsea, 1960.
Kenneth M. Hoffman and Ray A. Kunze, Linear Algebra, Pearson, 1971.
Peter D. Lax, Linear Algebra and Its Applications, Wiley, 2007.
Thomas Muir, Treatise on the Theory of Determinants, Longman, Green & Co., 1933.
Gilbert Strang, Linear Algebra and Its Applications, 4th edition, Academic Press, 2009.