ECON 2141 Part 3

¡Supera tus tareas y exámenes ahora con Quizwiz!

cofactor matrix

A matrix with elements that are the cofactors, term-by-term, of a given square matrix.

cramer's rule

a method that uses determinants to solve a system of linear equations

the first order condition is a what condition? (necessary/sufficient,etc)

a necessary condition for x* to be an interior max or min, but not a sufficient condition

what is the hessian

a special matrix where the elements are the second order partial derivatives of a function it can be used to evaluate the function's concavity around the critical points neighborhoods

how to perform constrained optimization using the hessian

find the bordered hessian

look @ question on the back and maximize the profit function

profit function is: Q1(40-4Q1)+Q2(98-10Q2)-(80+8(Q1+Q2))

x_1 + 2x_2 = 2 2x_1+4x_2 = 4 unique soln?

the two lines coincide - there are infinite solutions

if a matrix is invertible what is its inverse

A^-1

look @ question on back and find inverse matrix

X = A^(-1)b = [4 2.5]

what is a minor of a matrix |M_{ij}|

determinant of the matrix left when row i and column j have been deleted

what is the sufficient condition to find extreme points

evaluate the second order partial derivatives. this is done using the hessian

when is a square matrix invertible

if and only if it is nonsingular

steps to solve for unknowns in a linear system using matrices

make coefficient matrix check that it is non singluar (ie find determinant) find the cofactor matrix find the adjoint matrix find the inverse matrix

square matrix

n x n dimensions

x_1 + 2x_2 = 3 2x_1+4x_2 = 4 unique soln?

no the lines are parralel and never concide so no unique soln


Conjuntos de estudio relacionados

The Pathway of Blood Flow Through the Heart (The Coronary Circulation)

View Set

CompTIA CertMaster Learn for Network+ N10-007

View Set

Combo with "test 4 Digestive System" and 1 other

View Set

Chapter 11: Compensating Executives

View Set

Chapter 12 Strategizing, Structuring, and Learning Around the World

View Set