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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 17E
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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
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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
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2y+(r -2)z=t+2
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3
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-2
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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].
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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
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101
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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
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