I am reading Schaum's outlines linear algebra, and have reached an explanation of the following lemma:
Let ##T:V→V## be a linear operator whose minimal polynomial is ##f(t)^n## where ##f(t)## is a monic irreducible polynomial. Then V is the direct sum
##V=Z(v_1,T)⊕...⊕Z(v_r,T)##
of T-cyclic...
Dear Physics Forum personnel,
I am a college sophomore in U.S. with a major in mathematics and an aspiring algebraic number theorist. I wrote this email to seek a recommendation on one or two outstanding linear algebra textbook that can supplement the Linear Algebra (Friedberg et al.), which...