91Ó°ÊÓ

Prove that the trace of a matrix equals the sum of all \(n\) of its eigenvalues and the determinant is their product.

Prove that the trace of a matrix equals the sum of all \(n\) of its eigenvalues and the determinant is their product.

Suppose the Wronskian of two functions is identically zero. Does it follow that these functions are linearly dependent?

Find the dimension of the space of polynomials of degree less than \(n\).

Prove that the set of all quasi-polynomials of degree less than \(n\) is a. vector space. Find its dimension.