Answered: Suppose you have the following system…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.2: Multiplicative Inverses

Problem 41PS

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Question

Suppose you have the following system of equations:

35 x₁ + 31 x₂ + 12 x₃ = 2974

7 x₁ + 14 x₂ + 27 x₃ = 2054

20 x₁ + 13 x₂ + 14 x₃ = 1830

a. Convert this system of equations in the matrix form and calculate the determinant of the coefficient matrix. What is the determinant of the coefficient matrix?

b. Take the coefficient matrix, and calculate its co-factors, and the adjoint. Use the adjoint to invert the matrix. Use inverse of the coefficient matrix to solve the system of equations.

Right now, enter the following values:

c. What is the value of c_{13 ,}c_{23 ,}C_{32 ?}

d. What is the value of x₁? x_2,x_3?

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