Hyperplane

Related BrainMass Solutions

• Linear Algebra: Hyperplanes

  The distance between the point and the hyperplane is e. We make a perpendicular line from to the hyperplane which intersects the hyperplane at the point . Then for some .

• Proof in Linear Programming - extreme point

  Polyhedron and hyperplane functions are solved.

• Linear Programming : Adjacency of Basic Feasible Solution and Hyperplanes

  of Ax=b, ) Thus u and v are in the same supporting hyperplane H. --- Please see the attached file for the complete solution.

• Projections on a hyperplane

  This shows examples of finding projections of given vectors on a given hyperplane.

• Weak closures

  By lemma, we know that contains a hyperplane x+Y (that runs through x). x+Y intersects S , which means that it intersects D, this is a contradiction. Thus B[0,1]\D is an empty set. This solution shows how to find the weak closure of a given space.

• Linear Programming Models with Constraints

  In two dimensional space, this hyperplane is a line which should clearly define the boundary of the side of line which is defined by it. a) -1A + 2B < 70 : does not do it.

• Optimization Modeling - Determine how Woodco can maximize its revenue.

  30x + 13y <= 210 x, y >= 0 The corner points for 17x + 5y = 150 are given as: x y 0 30 8.82 0 The corner points for 30x + 13y <= 210 are given as: x y 0 16.15 7 0 Clearly, since the inequalities are <=, we are looking at the hyperplane

• Define the Duality Principal and Multiplying Matrices of Differing Size

  For example, in the projective plane, any two distinct points define a line (i.e. a hyperplane in 2D). Dually, any two distinct lines define a point (their intersection).

• Least squares method

  In practice, the vertical offsets from a line (polynomial, surface, hyperplane, etc.) are almost always minimized instead of the perpendicular offsets.