Let I be a 100 dimensional identity matrix and E be the set of its distinct (no value appears more than once in E) real eigenvalues. The number of elements in...

The matrix (where a > 0) has a negative eigenvalue if a is greater than

A linear transformation maps a point (x', y') in the plane to the point (x,y) according to the rule x'=3y y'=2x. Then, the disc x2+y2≤1. gets transformed to a r...