# Question

Given an m × n matrix T over some field (such as the reals), show that (S,ℓ) is a matroid, where S is the set of columns of T and A ¬ℓ if and only if the columns in A are linearly independent.

## Answer to relevant Questions

Show that if (S, ℓ) is a matroid, then (S, ℓ′) is a matroid, where ℓ′ = {A′: S - A′ contains some maximal A ¬ℓ}. That is, the maximal independent sets of (S, ...A sequence of n operations is performed on a data structure. The ith operation costs i if i is an exact power of 2, and 1 otherwise. Use aggregate analysis to determine the amortized cost per operation.Suppose that a graph G has a minimum spanning tree already computed. How quickly can the minimum spanning tree be updated if a new vertex and incident edges are added to G?Why are pseudo variable logically unnecessary?SQL has no formal row array literals. Explain and justify this observation.Post your question

0