Solve the system of equations using the inverse of the coefficient matrix of the equivalent matrix equation.X-y + z =2y - z= - 14х + Зу%3D2Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.O A. The solution is x =and z =(Simplify your answers.)O B. There are infinitely many solutions. The solutions are of the form x= y=and z=r, where r is any real number.(Simplify your answers. Type expressions usingr as the variable. Do not factor.)O C. There are infinitely many solutions. The solutions are of the form x =y =r, and z=S, where r and s are any real numbers.(Simplify your answer. Type an expression usingr and s as the variables. Do not factor.)O D. There is no solution. Find (I - A)-1 for the given matrix A.4A =- 3 - 43(I - A) -1=(Simplify your answer.)

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Answered: Solve the system of equations using the…

Solve the system of equations using the inverse of the coefficient matrix of the equivalent matrix equation. X- y + z= 2y - z= - 1 4х + Зу = 2

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Matrices And Determinants

Section7.2: Operations With Matrices

Problem 1ECP: Solve for a11, a12, a21 and a22 in the matrix equation a11a12a21a22=6324.

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Question

Solve the system of equations using the inverse of the coefficient matrix of the equivalent matrix equation.
X-
y + z =
2y - z= - 1
4х + Зу
%3D
2
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The solution is x =
and z =
(Simplify your answers.)
O B. There are infinitely many solutions. The solutions are of the form x= y=
and z=r, where r is any real number.
(Simplify your answers. Type expressions usingr as the variable. Do not factor.)
O C. There are infinitely many solutions. The solutions are of the form x =
y =r, and z=S, where r and s are any real numbers.
(Simplify your answer. Type an expression usingr and s as the variables. Do not factor.)
O D. There is no solution.

Find (I - A)-1 for the given matrix A.
4
A =
- 3 - 4
3
(I - A) -1=
(Simplify your answer.)

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