Part b Q#2. (a). State the first four properties of determinants and use the following|4 0 -1determinant 2 1 -7 to verify the first four properties of determinant.13 3 9|(b). Use Cramer's rule to solve the following equation system:4X + Y - 5Z = 8%3D-2X - 3Y + Z = 123X - Y + 4Z = 5.f0.2 0.3 0.2|[30](c). If input matrix is 0.4 0.1 0.2 and its final demand is 15, what are the solutionlo.1 0.3 0.2l1oloutput levels for the three industries? (Round off answers to two decimal places.)

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Answered: (b). Use Cramer's rule to solve the…

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(b). Use Cramer's rule to solve the following equation system: 4X + Y - 5Z = 8 -2X - 3Y + Z = 12 3X - Y + 4Z = 5.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.1: The Determinants Of A Matrix

Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...

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Question

Part b

Q#2. (a). State the first four properties of determinants and use the following
|4 0 -1
determinant 2 1 -7 to verify the first four properties of determinant.
13 3 9|
(b). Use Cramer's rule to solve the following equation system:
4X + Y - 5Z = 8
%3D
-2X - 3Y + Z = 12
3X - Y + 4Z = 5.
f0.2 0.3 0.2|
[30]
(c). If input matrix is 0.4 0.1 0.2 and its final demand is 15, what are the solution
lo.1 0.3 0.2
l1ol
output levels for the three industries? (Round off answers to two decimal places.)

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