3. Consider the system of linear equations 2x₁ + 3x₂ + x3 = −1 3x₁ + 3x₂ + x3 = 1 3x₁ + 4x₂ + x3 = -2 a. Find the inverse of the coefficient matrix A. b. Using the inverse matrix of A, find the solution of the system. 4. Suppose the following matrix A is the augmented matrix for a system of linear equations A = 1 2 3 4 2 -1 -2 a² -1 -7 -11 a where a is a real number. Determine all the values of a so that the corresponding system is consistent.

3. Consider the system of linear equations 2x₁ + 3x₂ + x3 = −1 3x₁ + 3x₂ + x3 = 1 3x₁ + 4x₂ + x3 = -2 a. Find the inverse of the coefficient matrix A. b. Using the inverse matrix of A, find the solution of the system. 4. Suppose the following matrix A is the augmented matrix for a system of linear equations A = 1 2 3 4 2 -1 -2 a² -1 -7 -11 a where a is a real number. Determine all the values of a so that the corresponding system is consistent.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section: Chapter Questions

Problem 10CC

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Similar questions

Write the system of equations that corresponds to the augmented matrix: [111423181113] .
Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the system have exactly one solution?

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