Answer by leoli1 for Prove that $A$, a matrix of rank $3$, can't have...
Hint: The geometric multiplicity of an eigenvalue is always at most the algebraic multiplicity.What is the eigenspace corresponding to the eigenvalue $0$?
View ArticleProve that $A$, a matrix of rank $3$, can't have characteristic polynomial of...
Prove that $A$, a matrix of rank $3$, can't have characteristic polynomial of $p(x) = x^7 - x^5 + x^3$My attempt to contradict:Because of that characteristic polynomial, the matrix must be a $7 \times...
View Article
