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Consider the vectors in = V₁² 5 -1 1 V₂ = 2 Write the system, which corresponds to the equation a₁v₁ + a₂V₂+a3V3 = 0, where a1₁, a2, a3 are some real numbers. Select one: O None of those a₁ + a₂ + a3 = 0 5a₁ +2a₂+4a3=0 -a₁ + a₂+3a3=0 O a₁ + a₂ + a₂ = 0 V3= 5a, +2a2+4a3=0 -a₁ + a₂-3a3=0

Consider the vectors in = V₁² 5 -1 1 V₂ = 2 Write the system, which corresponds to the equation a₁v₁ + a₂V₂+a3V3 = 0, where a1₁, a2, a3 are some real numbers. Select one: O None of those a₁ + a₂ + a3 = 0 5a₁ +2a₂+4a3=0 -a₁ + a₂+3a3=0 O a₁ + a₂ + a₂ = 0 V3= 5a, +2a2+4a3=0 -a₁ + a₂-3a3=0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the vectors in R³ 1 V₁= 5 V₂ = 2 Select one: Write the system, which corresponds to the equation a₁v₁ + a₂V₂+a3V3 = 0, where a₁, a2, a3 are some real numbers. None of those a₁ + a₂ + a3 = 0 5a₁ +2a₂+4a3=0 -a₁ + a₂ +3a3 = 0 a₁ + a₂ + a₂ = 0 5a₁ +2a2+4a3 = 0 -a₁ + a₂-3a3=0 a₁ + a₂=1 5a₁ +2a₂=4 -a₁ + a₂=3 V3 a₁ + a₂ + a3 = 0 5a₁ +2a₂+4a3 = 0 a₁ + a₂ +3a3=0
Transcribed Image Text:Consider the vectors in R³ 1 V₁= 5 V₂ = 2 Select one: Write the system, which corresponds to the equation a₁v₁ + a₂V₂+a3V3 = 0, where a₁, a2, a3 are some real numbers. None of those a₁ + a₂ + a3 = 0 5a₁ +2a₂+4a3=0 -a₁ + a₂ +3a3 = 0 a₁ + a₂ + a₂ = 0 5a₁ +2a2+4a3 = 0 -a₁ + a₂-3a3=0 a₁ + a₂=1 5a₁ +2a₂=4 -a₁ + a₂=3 V3 a₁ + a₂ + a3 = 0 5a₁ +2a₂+4a3 = 0 a₁ + a₂ +3a3=0
Consider the vectors (-c 0-1), (2 1 2), (-110) in R3. Find the value of c, for which given vectors are linearly dependen Select one: O None of those O c=3 O -1.5 O 1.5 Oc=-1 Give your reasons 1 A▾ 30 22 BI Ff EEEE
Transcribed Image Text:Consider the vectors (-c 0-1), (2 1 2), (-110) in R3. Find the value of c, for which given vectors are linearly dependen Select one: O None of those O c=3 O -1.5 O 1.5 Oc=-1 Give your reasons 1 A▾ 30 22 BI Ff EEEE
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