Consider the following planes. 5x + 2y + z = -1 and 2xy + 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 2/5 1/5 -1/5 - - 0 1 -28/9 -47/9 ↓ ↑ Identify the free variables from the row reduced matrix. (Select all that apply.) Z Use back substitution to write the variables corresponding to the leading variables in terms of the free variables. State the resulting solution. 17 -17/5 X 9 26/9 47 + t 9 1 0 What does this solution represent? ○ The skew line of the given planes. O The line of intersection of the given planes. O The plane perpendicular to the given planes. O The two lines of intersection of the given planes. O The single point of intersection of the given planes.
Consider the following planes. 5x + 2y + z = -1 and 2xy + 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 2/5 1/5 -1/5 - - 0 1 -28/9 -47/9 ↓ ↑ Identify the free variables from the row reduced matrix. (Select all that apply.) Z Use back substitution to write the variables corresponding to the leading variables in terms of the free variables. State the resulting solution. 17 -17/5 X 9 26/9 47 + t 9 1 0 What does this solution represent? ○ The skew line of the given planes. O The line of intersection of the given planes. O The plane perpendicular to the given planes. O The two lines of intersection of the given planes. O 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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Transcribed Image Text:Consider the following planes.
5x + 2y + z = -1 and 2xy + 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
2/5
1/5
-1/5
-
-
0
1
-28/9
-47/9
↓ ↑
Identify the free variables from the row reduced matrix. (Select all that apply.)
Z
Use back substitution to write the variables corresponding to the leading variables in terms of the free variables. State the resulting solution.
17
-17/5
X
9
26/9
47
+ t
9
1
0
What does this solution represent?
○ The skew line of the given planes.
O The line of intersection of the given planes.
O The plane perpendicular to the given planes.
O The two lines of intersection of the given planes.
O The single point of intersection of the given planes.
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