1. State in words the next elementary "row" operation that should be performed on the system in order to solve it. (More than one answer is possible in (a).) a. X, +4x, – 2x, +8x, =12 b. x, -3x, +5x, – 2x, = 0 x, - 7x, +2x, =-4 X, +8x, =-4 = 7 5x, - x, = 7 x, +3x, = -5 2x, = 1 2. The augmented matrix of a linear system has been transfomed by row operations into the form below. Determine if the system is consistent. [1 5 2 -6] 0 4 -7 2 0 0 5 o] 3. Is (3. 4. –2) a solution of the following system? 5x, - x, +2x, = 7 -2x, + 6x, +9x, = o -7x, +5x, – 3x, =-7 4. For what vahues of h and k is the following system consistent? 2.x, - x =h -6x, +3x, =k Solve the systems in the exercises given below; X, +5x, =-4 4- 5x, +4x, = -3 X + 4x, +3x, =-2 2.1, + 7x, + x, =-1 6. 2.x, – 7.x, + 3x, =-2 2.x, - x, - 7x, =1 - 4x, =-10 X, +3x, = 2 3x, +5.x, +8x, =-6 X +2x, = 4 2.x 7. X - 3x, - 31, = 2 X, + x, = 0 8.
1. State in words the next elementary "row" operation that should be performed on the system in order to solve it. (More than one answer is possible in (a).) a. X, +4x, – 2x, +8x, =12 b. x, -3x, +5x, – 2x, = 0 x, - 7x, +2x, =-4 X, +8x, =-4 = 7 5x, - x, = 7 x, +3x, = -5 2x, = 1 2. The augmented matrix of a linear system has been transfomed by row operations into the form below. Determine if the system is consistent. [1 5 2 -6] 0 4 -7 2 0 0 5 o] 3. Is (3. 4. –2) a solution of the following system? 5x, - x, +2x, = 7 -2x, + 6x, +9x, = o -7x, +5x, – 3x, =-7 4. For what vahues of h and k is the following system consistent? 2.x, - x =h -6x, +3x, =k Solve the systems in the exercises given below; X, +5x, =-4 4- 5x, +4x, = -3 X + 4x, +3x, =-2 2.1, + 7x, + x, =-1 6. 2.x, – 7.x, + 3x, =-2 2.x, - x, - 7x, =1 - 4x, =-10 X, +3x, = 2 3x, +5.x, +8x, =-6 X +2x, = 4 2.x 7. X - 3x, - 31, = 2 X, + x, = 0 8.
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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Solve the given questions according to the question asked. THANK YOU!!
![1. State in words the next elementary "row" operation that should be performed on the
system in order to solve it. (More than one answer is possible in (a).)
b. x -3x, + 5x, – 2x, = 0
X, +8x,
a. X +4x, - 2x, +8x, =12
X, - 7x, +2x, = -4
5x, - x, = 7
X, +3x, =-5
=-4
2x,
= 7
X = 1
2. The augmented matrix of a linear system has been transformed by row operations into
the form below. Determine if the system is consistent.
Г1 5 2 -67
0 4 -7 2
0 0
5 o]
3. Is (3. 4. -2) a solution of the following system?
5x, - x, +2.x, = 7
-2x, + 6x, +9x, = 0
-7 +5x, – 3x, = -7
4. For what values of h and k is the following system consistent?
2.x - x = h
-6x, +3x, = k
Solve the systems in the exercises given below:
X, +5x, =-4
- 5x, + 4x, = -3
5.
X + 4x, +3x, =-2
6.
2.x, – 7x, + 3x, = -2
2.x, + 7x, + x, =-1
2.x, - x, - 7x, =1
X +2x,
X - 3x, – 3x, = 2
- 4x, =-10
X, + 3x, = 2
= 4
2.x,
X, + x, = 0
3x, +5.x, +8x, =-6
8.
7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0c80324-9b70-4065-b767-0a8aba3f606d%2Fd830e3df-879d-42db-b9e1-6d6599e28d0a%2Fp5esl57_processed.png&w=3840&q=75)
Transcribed Image Text:1. State in words the next elementary "row" operation that should be performed on the
system in order to solve it. (More than one answer is possible in (a).)
b. x -3x, + 5x, – 2x, = 0
X, +8x,
a. X +4x, - 2x, +8x, =12
X, - 7x, +2x, = -4
5x, - x, = 7
X, +3x, =-5
=-4
2x,
= 7
X = 1
2. The augmented matrix of a linear system has been transformed by row operations into
the form below. Determine if the system is consistent.
Г1 5 2 -67
0 4 -7 2
0 0
5 o]
3. Is (3. 4. -2) a solution of the following system?
5x, - x, +2.x, = 7
-2x, + 6x, +9x, = 0
-7 +5x, – 3x, = -7
4. For what values of h and k is the following system consistent?
2.x - x = h
-6x, +3x, = k
Solve the systems in the exercises given below:
X, +5x, =-4
- 5x, + 4x, = -3
5.
X + 4x, +3x, =-2
6.
2.x, – 7x, + 3x, = -2
2.x, + 7x, + x, =-1
2.x, - x, - 7x, =1
X +2x,
X - 3x, – 3x, = 2
- 4x, =-10
X, + 3x, = 2
= 4
2.x,
X, + x, = 0
3x, +5.x, +8x, =-6
8.
7.
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