2. Find the value(s) of the parameter t for which the following system of linear equations has (a) unique solution, (b) no solution, and (c) infinitely many solutions. x - 2z =1 2x+3y-z=8 2y+(r* -2)z =t+2 10 -2 1 2 3 0 2 -2 t+2] 1 0 -0 3 o 2 r-2 1+2 -2 -2 -1 6 lo 2 r-2 1+2] 1 0 -2 2 0 0 -4t-2 a. If -4 0 or t+ ±2, the system has a unique solution. b. If t=-2, the system has no solution. Last row becomes [0 o 0 -4). c. If t= 2, the system has infinitely many solutions (see graph below) since the last row becomes [0 o o o). 100 101

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question

I need help understanding these 3 questions

Chrome
File
Edit
View History
Bookmarks
Profiles
Tab
Window
Help
Sun Oct 3 7:23 PM
FSC my
Bb LEA
My
Bb Mat
ВЬ Ма
Bb Hor
Bb We
http
Bb LEA
Bb Mat
ADI
EMH Rec
EMIH Rec
EMH Rec
G sho Ver
Cor
010
Dee
i! Ver o Rec W Ver
Old
+
Bb
FSC Ma
gus
01
Adeel 5 pt2.pdf
farmingdale.open.suny.edu/bbcswebdav/pid-2228193-dt-content-rid-23286868_1/courses/202109-MTH245-001-90761/MTH%20245%20Dynamical%20Systems%20of%20Equations.pdf
A
1101
Apps
Reading List
MTH 245 Dynamical Systems of Equations.pdf
2 / 4
+ | 0 O
100%
101
1101Test
Dyaanical Syten af Linar Equations
2. Find the value(s) of the parameter t for which the following system of linear
equations has (a) unique solution, (b) no solution, and (c) infinitely many
solutions.
1
2z = 1
||
2x+3у-z %3D8
-
a, la ..-4
2y+(r -2)z=t+2
nship
ACK.jpg
3
[1 0
-2
1
[1
-2
1
[1
-2
1
2
3
-1
8
3
3
1
1
2
2
t? -2
t+2
2
t2 - 2
t+2
2
t? - 2
t+2|
Screen Shot
1
-2
2021-10...1.54 AM
→ |0
1
1
2
ization
1? -4
t- 2
a. If t – 4 + 0 or t +±2, the system has a unique solution.
3
b. If t=-2, the system has no solution. Last row becomes [0 0 0 -4].
ization
JPG
c. If t= 2, the system has infinitely many solutions (see graph below) since the
last row becomes 0 0 0 0.
100
50
k.JPG
OCT
PAGES
W
P
101
...
...
国
II
Transcribed Image Text:Chrome File Edit View History Bookmarks Profiles Tab Window Help Sun Oct 3 7:23 PM FSC my Bb LEA My Bb Mat ВЬ Ма Bb Hor Bb We http Bb LEA Bb Mat ADI EMH Rec EMIH Rec EMH Rec G sho Ver Cor 010 Dee i! Ver o Rec W Ver Old + Bb FSC Ma gus 01 Adeel 5 pt2.pdf farmingdale.open.suny.edu/bbcswebdav/pid-2228193-dt-content-rid-23286868_1/courses/202109-MTH245-001-90761/MTH%20245%20Dynamical%20Systems%20of%20Equations.pdf A 1101 Apps Reading List MTH 245 Dynamical Systems of Equations.pdf 2 / 4 + | 0 O 100% 101 1101Test Dyaanical Syten af Linar Equations 2. Find the value(s) of the parameter t for which the following system of linear equations has (a) unique solution, (b) no solution, and (c) infinitely many solutions. 1 2z = 1 || 2x+3у-z %3D8 - a, la ..-4 2y+(r -2)z=t+2 nship ACK.jpg 3 [1 0 -2 1 [1 -2 1 [1 -2 1 2 3 -1 8 3 3 1 1 2 2 t? -2 t+2 2 t2 - 2 t+2 2 t? - 2 t+2| Screen Shot 1 -2 2021-10...1.54 AM → |0 1 1 2 ization 1? -4 t- 2 a. If t – 4 + 0 or t +±2, the system has a unique solution. 3 b. If t=-2, the system has no solution. Last row becomes [0 0 0 -4]. ization JPG c. If t= 2, the system has infinitely many solutions (see graph below) since the last row becomes 0 0 0 0. 100 50 k.JPG OCT PAGES W P 101 ... ... 国 II
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education