Find the general solution of the system whose augmented matrix is given below.1-541 -416 - 13Select the correct choice below and, if necessary, fill in any answer boxes to complete your answer.O A.X =Ов.x, =X2 =X2 is freeX3 is freeX3 is free(Use integers or fractions for any numbers in the equation.)(Use integers or fractions for any numbers in the equation.)O D. The system has no solution.X1 =X2X3(Use integers or fractions for any numbers in the equation.) -4 -1 16-5 -63-7-31. Let B=3If B represents a matrix A augmented with a vector b, write the1549.5.-1 -210vector equation. Then write the linear equations represented by B. How many pivot positions does Bhave? What are the pivot columns of B? How many solutions does the system have? Do the columnvectors of B span D? What, if any, are the free variables? How are the basic variables defined in termsof the free variables? What vectors x satisfy the matrix equation Ax b?

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Find the general solution of the system whose augmented matrix is given below. 1 -5 4 |1 -4 16 - 13 Select the correct choice below and, if necessary, fill in any answer boxes to complete your answer. O A. X1 = OB. x, = X2 = X2 is free X3 is free X3 is free (Use integers or fractions for any numbers in the equation.) (Use integers or fractions for any numbers in the equation.) Oc. x, = O D. The system has no solution. X2 = X3 = (Use integers or fractions for any numbers in the equation.)

Find the general solution of the system whose augmented matrix is given below. 1 -5 4 |1 -4 16 - 13 Select the correct choice below and, if necessary, fill in any answer boxes to complete your answer. O A. X1 = OB. x, = X2 = X2 is free X3 is free X3 is free (Use integers or fractions for any numbers in the equation.) (Use integers or fractions for any numbers in the equation.) Oc. x, = O D. The system has no solution. X2 = X3 = (Use integers or fractions for any numbers in the equation.)

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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Question

Find the general solution of the system whose augmented matrix is given below.
1
-5
4
1 -4
16 - 13
Select the correct choice below and, if necessary, fill in any answer boxes to complete your answer.
O A.
X =
Ов.
x, =
X2 =
X2 is free
X3 is free
X3 is free
(Use integers or fractions for any numbers in the equation.)
(Use integers or fractions for any numbers in the equation.)
O D. The system has no solution.
X1 =
X2
X3
(Use integers or fractions for any numbers in the equation.)

-4 -1 1
6
-5 -6
3
-7
-3
1. Let B=
3
If B represents a matrix A augmented with a vector b, write the
15
4
9.
5.
-1 -2
10
vector equation. Then write the linear equations represented by B. How many pivot positions does B
have? What are the pivot columns of B? How many solutions does the system have? Do the column
vectors of B span D? What, if any, are the free variables? How are the basic variables defined in terms
of the free variables? What vectors x satisfy the matrix equation Ax b?

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