The set {(1,-1,2),(2,0,-3),(2,4,1),(2,0,1)} of 3 is linearly dependent O True False

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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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,...
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Answer all three

QUESTION 3
The set {(1,-1,2),(2,0,-3),(2,4,1),(2,0,1)} of R3 is linearly dependent
True
False
QUESTION 4
The solution space of the following syestem of linear equation spanned by the vectors:
X1-3x2-9x3-5x4=0
2x1 + x2-4x3+ 11x4 = 0
X1 + 3x2 + 3x3 + 13x4=0
a. {(3,-2,1,0),(-4,3,0,1)}
b. {(3,2,1,0),(-4,-3,0,1)}
c. {(3,2,1,0),(-4,-3,0,1)}
d. {(3,-2,1,0),(4, -3,0,1)}
OC.
QUESTION 5
3x1 + x2-3x3=6
2x1 + 7x₂ + x3 = -9 has a solution X1, X2 and X3
2x1 + 5x₂ = -5
1000
0.01
has no solution
0.001
then (X₁X3)*²
Transcribed Image Text:QUESTION 3 The set {(1,-1,2),(2,0,-3),(2,4,1),(2,0,1)} of R3 is linearly dependent True False QUESTION 4 The solution space of the following syestem of linear equation spanned by the vectors: X1-3x2-9x3-5x4=0 2x1 + x2-4x3+ 11x4 = 0 X1 + 3x2 + 3x3 + 13x4=0 a. {(3,-2,1,0),(-4,3,0,1)} b. {(3,2,1,0),(-4,-3,0,1)} c. {(3,2,1,0),(-4,-3,0,1)} d. {(3,-2,1,0),(4, -3,0,1)} OC. QUESTION 5 3x1 + x2-3x3=6 2x1 + 7x₂ + x3 = -9 has a solution X1, X2 and X3 2x1 + 5x₂ = -5 1000 0.01 has no solution 0.001 then (X₁X3)*²
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