The following linear system is in echelon form. Solve the linear system by back substitution. X1 + X2 + 2x3 = 2 X2 + 3x3 = 9 X3 = 2 O A. There is a unique solution, Xq =| X2 =, X3 = (Type integers or simplified fractions.) B. There are infinitely many solutions of the form x, =, x2 =, x3 = t where t is a real number. (Simplify your answers. Use integers or fractions for any numbers in the expressions.) O C. There are infinitely many solutions of the form x, = ,X2 = S, X3 =t where s and t are real numbers. (Simplify your answers. Use integers or fractions for any numbers in the expressions.) D. There is no solution.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The following linear system is in echelon form. Solve the linear system by back substitution.
X1 + X2 + 2x3
X2 + 3x3
= 9
X3
= 2
A. There is a unique solution, x1
, X2 =
(Type integers or simplified fractions.)
, X3
%3D
B. There are infinitely many solutions of the form x, =, X, = , X3 =t where t is a real number.
%3D
%3D
(Simplify your answers. Use integers or fractions for any numbers in the expressions.)
C. There are infinitely many solutions of the form X1 =, X2 = S, X3 =t where s and t are real numbers.
(Simplify your answers. Use integers or fractions for any numbers in the expressions.)
D. There is no solution.
Transcribed Image Text:The following linear system is in echelon form. Solve the linear system by back substitution. X1 + X2 + 2x3 X2 + 3x3 = 9 X3 = 2 A. There is a unique solution, x1 , X2 = (Type integers or simplified fractions.) , X3 %3D B. There are infinitely many solutions of the form x, =, X, = , X3 =t where t is a real number. %3D %3D (Simplify your answers. Use integers or fractions for any numbers in the expressions.) C. There are infinitely many solutions of the form X1 =, X2 = S, X3 =t where s and t are real numbers. (Simplify your answers. Use integers or fractions for any numbers in the expressions.) D. There is no solution.
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