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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
Transcribed Image Text: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.)
Transcribed Image Text:Find (I - A)-1 for the given matrix A. 4 A = - 3 - 4 3 (I - A) -1= (Simplify your answer.)
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