Explain why the given system cannot be solved by matrix inverse methods. Choose a method that can be used and then solve the system.X1 -2x2- 3x3 = - 1- 2x, + 4x2 + 6x3 =7Why can the matrix inverse methods not be used to solve the given system?O A. The matrix is singular.O B. The number of variables is not the same as the number of equations.O C. The number of variables is not the same as the number of columns.O D. The number of rows is not the same as the number of columns.Solve the system. Select the correct choice below and, if necessary, fill in the answer box'to complete your choice.O A. X1 = X2=(Type expressions using x3 as the variable.)O B. x1=(Type expressions using x2 and x3 as the variables.)O C. X1 =x2 =X3 = for t any real number.(Type expressions using t as the variable.)O D. There is no solution.Click to select and enter your answer(s).Tyne here to conrch

Answered: Explain why the given system cannot be…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Explain why the given system cannot be solved by matrix inverse methods. Choose a method that can be used and then solve the system.
X1 -
2x2
- 3x3 = - 1
- 2x, + 4x2 + 6x3 =
7
Why can the matrix inverse methods not be used to solve the given system?
O A. The matrix is singular.
O B. The number of variables is not the same as the number of equations.
O C. The number of variables is not the same as the number of columns.
O D. The number of rows is not the same as the number of columns.
Solve the system. Select the correct choice below and, if necessary, fill in the answer box'to complete your choice.
O A. X1 = X2=
(Type expressions using x3 as the variable.)
O B. x1=
(Type expressions using x2 and x3 as the variables.)
O C. X1 =x2 =X3 = for t any real number.
(Type expressions using t as the variable.)
O D. There is no solution.
Click to select and enter your answer(s).
Tyne here to conrch

Expert Solution

Step 1

$G i v e n, x_{1} + 2 x_{2} - 3 x_{3} = - 1 - 2 x_{1} + 4 x_{2} + 6 x_{3} = 7 M a t r i x I n v e r s i o n M e t h o d : T h i s m e t h o d c a n b e a p p l i e d o n l y w h e n t h e c o e f f i c i e n t m a t r i x i s a s q u a r e m a t r i x a n d n o n - \sin g u l a r . (a) M a t r i x i n v e r s e m e t h o d s n o t b e u s e d t o s o l v e t h e g i v e n s y s t e m b e c a u s e t h e m a t r i x i s s i n g u l a r .$

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