2. For each of the following augmented matrices [A | b] and their reduced row echelon forms, identify whether the corresponding matrix equation Ax = b has "infinitely many solutions", "a unique solution", or is "inconsistent." 2 3 41 [1 1.5 01 a. A =-1 2 0 1- 0 2] 1 0.75 0 4 3 1. -2 0 31 0 0 -4 b. A = 1 -1.5/ -2 C. A = 1 17
2. For each of the following augmented matrices [A | b] and their reduced row echelon forms, identify whether the corresponding matrix equation Ax = b has "infinitely many solutions", "a unique solution", or is "inconsistent." 2 3 41 [1 1.5 01 a. A =-1 2 0 1- 0 2] 1 0.75 0 4 3 1. -2 0 31 0 0 -4 b. A = 1 -1.5/ -2 C. A = 1 17
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 93E
Related questions
Question
Need help in #2
![2x2 -8x3 6x4 0
-4x1 + 5x2 + 9x3 + 14x4 0
Write the system of equations as an equivalent matrix equation Ax 0.
b. Write the general solution of the system in parametric vector form.
c. Identify two distinct nonzero particular solutions for the system.
a.
2. For each of the following augmented matrices [A | b] and their reduced row echelon forms, identify
whether the corresponding matrix equation Ax = b has "infinitely many solutions", "a unique
solution", or is "inconsistent."
1
2 3
41
[1
1.5
01
a. A =-1
2
0.
1
1
0.75 0
0.
4.
3.
2.
1]
b. A = [ ? : -6 10 -15
-2 0
-4
2
1 0
-1.5
-2
C.
A =
2
3. Let a, =
-2,a2 =
-13 , and b =
8.
Then, Span{a,, a2} is a plane through the origin in R°.
100%
Gi
Reminder: "Dieng 20th Ce
Mon 9:32 RM](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa11fcfc-11f7-448e-9db2-5b5a3dd5c606%2Fb2151e1b-979e-4cf8-ab0e-1a568319a384%2Frsi45un_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2x2 -8x3 6x4 0
-4x1 + 5x2 + 9x3 + 14x4 0
Write the system of equations as an equivalent matrix equation Ax 0.
b. Write the general solution of the system in parametric vector form.
c. Identify two distinct nonzero particular solutions for the system.
a.
2. For each of the following augmented matrices [A | b] and their reduced row echelon forms, identify
whether the corresponding matrix equation Ax = b has "infinitely many solutions", "a unique
solution", or is "inconsistent."
1
2 3
41
[1
1.5
01
a. A =-1
2
0.
1
1
0.75 0
0.
4.
3.
2.
1]
b. A = [ ? : -6 10 -15
-2 0
-4
2
1 0
-1.5
-2
C.
A =
2
3. Let a, =
-2,a2 =
-13 , and b =
8.
Then, Span{a,, a2} is a plane through the origin in R°.
100%
Gi
Reminder: "Dieng 20th Ce
Mon 9:32 RM
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