Recent content by kurnimaha

Let {u1, ... , uk} be a basis for U and {v1, ... , vp} a basis for V. Now consider the intersection U\capV. If U\capV = {0}, what can you say about the linear depence of the set {u1, ... , uk, v1, ... , vp}? How about the situation U\capV \neq {0}? If T: V -> W is a bijective map, then what...

It probably means that two things are correspondent. For example, a map could be drawn to a scale, let's say 1 : 10 000, and so one could say that 1 unit of measurement on the map corresponds to 10 000 of that same unit in reality. I've seen that notation been used like this: 1 cm2...

Homework Statement Let a0 > a1 > a2 > ... > an > 0 be coefficients of a polynomial P(z) = a0 + a1z + a2z2 + ... + anzn. Let z0 be complex number such that P(z0) = 0. Show that |z0| > 1. Homework Equations Triangle inequality? Not sure if that's enough. The Attempt at a Solution I...

If W \cap U \neq {0} then the set {basis of U} \cup {basis of W} must be linearly dependent.