Solve the system of equations using the inverse of the coefficient matrix of the equivalent matrix equation. X- y + z= 2y - z= - 1 4x + 3y ..... 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
2
%3D
.....
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The solution is x =
y =
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 2 %3D ..... Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The solution is x = y = 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.
- 42
A =
-2 4
(I - A)-1 = (Simplify your answer.)
Transcribed Image Text:Find (I - A)-1 for the given matrix A. - 42 A = -2 4 (I - A)-1 = (Simplify your answer.)
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