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

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter11: Matrices And Determinants
Section11.1: Matrices And Systems Of Linear Equations
Problem 3E
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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
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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