Consider the following planes. 5x + 2y + z = -1 and 2x -y + 6z = 9 Use these equations for form a system. Reduce the corresponding augmented matrix to row echelon form. (Order the columns from x to z.) ↓ 1 Identify the free variables from the row reduced matrix. (Select all that apply.) Ox Use back substitution to write the variables corresponding to the leading variables in terms of the free variables. State the resulting solution. 17 X 9 BH- 47 + t 9 Z 11 What does this solution represent? O The skew line of the given planes. The line of intersection of the given planes. The plane perpendicular to the given planes. The two lines of intersection of the given planes. The single point of intersection of the given planes.

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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Consider the following planes.
5x + 2y + z = -1 and 2x - y + 6z = 9
Use these equations for form a system. Reduce the corresponding augmented matrix to row echelon form. (Order the columns from x to z.)
Identify the free variables from the row reduced matrix. (Select all that apply.)
X
X
Use back substitution to write the variables corresponding to the leading variables in terms of the free variables. State the resulting solution.
N
y
II
17
9
47 + t
9
0
What does this solution represent?
The skew line of the given planes.
The line of intersection of the given planes.
The plane perpendicular to the given planes.
O The two lines of intersection of the given planes.
The single point of intersection of the given planes.
Transcribed Image Text:Consider the following planes. 5x + 2y + z = -1 and 2x - y + 6z = 9 Use these equations for form a system. Reduce the corresponding augmented matrix to row echelon form. (Order the columns from x to z.) Identify the free variables from the row reduced matrix. (Select all that apply.) X X Use back substitution to write the variables corresponding to the leading variables in terms of the free variables. State the resulting solution. N y II 17 9 47 + t 9 0 What does this solution represent? The skew line of the given planes. The line of intersection of the given planes. The plane perpendicular to the given planes. O The two lines of intersection of the given planes. The single point of intersection of the given planes.
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