### Questions (14)

 6 Trying to parse a Putnam solution from 1995 3 Generalizing from a transformation of known eigenvalues to one of unknown eigenvalues 2 Show some eigenvalue properties for $A=xy^*$ 1 A problem concerning a set’s closed intersections implying closedness 1 Having trouble interpreting this Algebraic statement

### Reputation (331)

 +10 Prove I-T is invertible, if $T^n = 0$ for some positive integer, T some linear operator +10 A problem concerning a set’s closed intersections implying closedness +10 Having trouble interpreting this Algebraic statement +10 Upvotes and downvotes problematic.

 2 Upvotes and downvotes problematic. 0 Given $a_1, a_2, \cdots, a_N$ such that $a_1+a_2+\cdots +a_N = S$ for some given $S$, find the number of ways such that someone is $\geq T$.

### Tags (27)

 2 algebra-precalculus 0 abstract-algebra × 3 2 percentages 0 matrix-analysis × 2 0 linear-algebra × 6 0 linear-transformations × 2 0 eigenvalues-eigenvectors × 4 0 general-topology × 2 0 matrices × 3 0 matrix-exponential