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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Transcribed Image Text: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.)
Transcribed Image Text:-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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