Match each system of equations (A-D) with the best geometric interpre- tation (1-4) below. For each system of equations, the augmented matrix is given as well as the Row Echelon form matrix that can be obtained by applying elementary row operations. A) -3x - 11y-28z 5x + 20y + 50z B) D) System of Equations 2x+8y +21z = 7 = 5 = 10 1. 2. 3. 4. 7x+ 5y 3z 3x - 2y - 3z -29x - 29y+9z = 3 = -3 = -21 4x + 8y + 6z -2 10x + 20y + 15z = -5 -14x-28y-21z = 7 7x+5y-3z =3 3x-2y-3z = -3 -29x - 29y+9z = -18 → → Augmented Matrix 2 -3 5 8 -11 7 3 -29 -29 73 21 7 3 -28 5 [] 20 50 10 5 -3 -2 -3 9 3 -3 -21 4 8 6 10 20 15 -5 -28 -21 -14 7 ]]+[ 7 5 -3 -2 -3 -29 -29 9 -18 3 -3 Row Echelon Form 7 28 21 0 1 7/2 31/2 00-5/2-15/2 ;]+[ Three identical planes Three planes with no common intersection Three planes intersecting at a point Three planes intersecting at a line 5 3 0-29/7 -12/7-30/7 0. 0 0 0 7 486 -2 000 0 0.00 0 7 5 0-29/7 0 0 ²] 3 -3 -12/7-30/7 12/750/7 3
Match each system of equations (A-D) with the best geometric interpre- tation (1-4) below. For each system of equations, the augmented matrix is given as well as the Row Echelon form matrix that can be obtained by applying elementary row operations. A) -3x - 11y-28z 5x + 20y + 50z B) D) System of Equations 2x+8y +21z = 7 = 5 = 10 1. 2. 3. 4. 7x+ 5y 3z 3x - 2y - 3z -29x - 29y+9z = 3 = -3 = -21 4x + 8y + 6z -2 10x + 20y + 15z = -5 -14x-28y-21z = 7 7x+5y-3z =3 3x-2y-3z = -3 -29x - 29y+9z = -18 → → Augmented Matrix 2 -3 5 8 -11 7 3 -29 -29 73 21 7 3 -28 5 [] 20 50 10 5 -3 -2 -3 9 3 -3 -21 4 8 6 10 20 15 -5 -28 -21 -14 7 ]]+[ 7 5 -3 -2 -3 -29 -29 9 -18 3 -3 Row Echelon Form 7 28 21 0 1 7/2 31/2 00-5/2-15/2 ;]+[ Three identical planes Three planes with no common intersection Three planes intersecting at a point Three planes intersecting at a line 5 3 0-29/7 -12/7-30/7 0. 0 0 0 7 486 -2 000 0 0.00 0 7 5 0-29/7 0 0 ²] 3 -3 -12/7-30/7 12/750/7 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Match each system of equations (A-D) with the best geometric interpre-
tation (1-4) below. For each system of equations, the augmented matrix is given as well as the
Row Echelon form matrix that can be obtained by applying elementary row operations.
A) -3x11y-28z
5x + 20y + 50z
B)
C)
D)
System of Equations
2x+8y +21z = 7
= 5
= = 10
1.
2.
3.
4.
7x + 5y 3z
3x - 2y - 3z
-29x - 29y+9z
= 3
= -3
-21
4x + 8y + 6z
10x + 20y + 15z
-142-28y - 21% = 7
*
7x+5y-3z
3x - 2y - 3z =
-29x - 29y+92-18
= 3
↑
↑
-2
-5 →
Augmented Matrix
2
-3
5
7
3
8
-11
20 50
21 7
5
-2 -3
-29-29 9
4
8
10 20
-14 -28
-28 5
{]
مل من
10
-3 3
-3
-21
15
-21
ܟܝܘ
7
[]-[{}
6 -2
41
-5
7
7
5 -3 3
3
-2 -3 -3
-29 -29 9 -18
Three identical planes
Three planes with no common intersection
Three planes intersecting at a point
Three planes intersecting at a line
↑
Row Echelon Form
28 21 | 7
0 1 7/2 31/2
00-5/2-15/2
个
5
-3
3
0 29/7 -12/7-30/7
0. 0
0
0
]
0
48 6 -2
000
0.0 0 0
7 5
-3
3
0-29/7 -12/7-30/7
0
0
0
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb154af4-0384-48be-b4dd-887afc51ba51%2F486844ec-efa8-45a6-8a2c-9c75971f1d62%2Fk9p7we_processed.png&w=3840&q=75)
Transcribed Image Text:Match each system of equations (A-D) with the best geometric interpre-
tation (1-4) below. For each system of equations, the augmented matrix is given as well as the
Row Echelon form matrix that can be obtained by applying elementary row operations.
A) -3x11y-28z
5x + 20y + 50z
B)
C)
D)
System of Equations
2x+8y +21z = 7
= 5
= = 10
1.
2.
3.
4.
7x + 5y 3z
3x - 2y - 3z
-29x - 29y+9z
= 3
= -3
-21
4x + 8y + 6z
10x + 20y + 15z
-142-28y - 21% = 7
*
7x+5y-3z
3x - 2y - 3z =
-29x - 29y+92-18
= 3
↑
↑
-2
-5 →
Augmented Matrix
2
-3
5
7
3
8
-11
20 50
21 7
5
-2 -3
-29-29 9
4
8
10 20
-14 -28
-28 5
{]
مل من
10
-3 3
-3
-21
15
-21
ܟܝܘ
7
[]-[{}
6 -2
41
-5
7
7
5 -3 3
3
-2 -3 -3
-29 -29 9 -18
Three identical planes
Three planes with no common intersection
Three planes intersecting at a point
Three planes intersecting at a line
↑
Row Echelon Form
28 21 | 7
0 1 7/2 31/2
00-5/2-15/2
个
5
-3
3
0 29/7 -12/7-30/7
0. 0
0
0
]
0
48 6 -2
000
0.0 0 0
7 5
-3
3
0-29/7 -12/7-30/7
0
0
0
3
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