Question Onea) Calculate the determinant of matrix A. Show your work in steps:A =2013-2--2 1 3 2 -11 0 1 2 33-12 4 -31 1 3 2 0b) Prove row linear independence is necessary and sufficient to column linearindependence in the same matrix.c) Derive the inverse matrix of matrix B. Show your work in steps:[3 20 014300B =00 6 5LO0 7 6]

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Answered: Question One a) Calculate the…

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter5: Business And Economic Forecasting

Section: Chapter Questions

Problem 1.4CE

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Question Three Complete the following work on your own. a) Calculate the rank of the following matrix: 1 –5 2 -3 11 1 -4 2 -5 A = -1 -9 0 −4 17 5 3 6 -1 b) Calculate the rank of the following matrix and use it to determine if there exists linear dependence in this matrix: 1 6 1 0 4 4 1 B = 2 1 -9 0 3 −1 -16-1 2 22 3

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