(ii Given the matrices 1 1/2 -1/6 A=0 B-L0 3 and 1/3 Verify that AB = BA = I where I is the identity matrix of order 2 x 2. (iii) Find the marginal utilities of x1 and x2 for each utility function (a) V = x1?x2? (b) W = log xi + log x2 %3D

(ii Given the matrices 1 1/2 -1/6 A=0 B-L0 3 and 1/3 Verify that AB = BA = I where I is the identity matrix of order 2 x 2. (iii) Find the marginal utilities of x1 and x2 for each utility function (a) V = x1?x2? (b) W = log xi + log x2 %3D

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 70EQ

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PLEASE Show ALL Workings VERY CLEARLY!

((ii) Given the matrices
2
1
1/2 -1/6
A=0
and
B = 0
1/3
Verify that AB = BA = I where I is the identity matrix of order 2 x 2.
(ii) Find the marginal utilities of xị and x2 for each utility function
(a) V = x1?x2?
(b) W = log x1 + log x2
%3!

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