Question

Let m = (e; i) be a matroid, and let x; y e be flats of m such that y x, and [15]r(y ) = r(x) ???? 1. prove that m has a hyperplane h such that y = h \ x.

Answer 1

 



salil asked in Math 

... such that points (1/2,15/2),(a,b)&(3,5) ... 11.prove that ...

Hi!

Q.7

Let A = (x1, y1) = (a, 0)

B = (x2, y2) = (0, b)

C = (x3, y3) = (1, 1)

be the given collinear points

To Prove: 

Proof: we know that area of triangle with three given collinear points/vertices is zero.

∴ Area of ∆ABC = 0



Dividing the L.H.S. and R.H.S. by ab, we get