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Consider the vectors (-c0-1), (2 1 2), (-1 1 0) 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

Consider the vectors (-c0-1), (2 1 2), (-1 1 0) 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

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 (-c 0-1), (2 1 2), (-1 1 0) in R₂. 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
Transcribed Image Text:Consider the vectors (-c 0-1), (2 1 2), (-1 1 0) in R₂. 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
A. Determine whether the vector v is in the span of a set S, where v = (2-1 13) and S = {( 1 0 1 -1), (0 1 1 1 )} in R4 B. Consider the vectors from R³ --0-0-0 a 3 = 1 = C. Given the vectors in R3: | 4 b Create the augmented matrix which correspond to the equation X₁ V₁ + X₂V₂+X3V3 = 0 and by using the REF form of the matrix created in part a, determine the conditions on the scalars a, b ER so that the set S={V₁, V₂ V3} is linearly dependent (11 c), (-101), (-212). Find the value of c, for which given vectors are linearly dependent
Transcribed Image Text:A. Determine whether the vector v is in the span of a set S, where v = (2-1 13) and S = {( 1 0 1 -1), (0 1 1 1 )} in R4 B. Consider the vectors from R³ --0-0-0 a 3 = 1 = C. Given the vectors in R3: | 4 b Create the augmented matrix which correspond to the equation X₁ V₁ + X₂V₂+X3V3 = 0 and by using the REF form of the matrix created in part a, determine the conditions on the scalars a, b ER so that the set S={V₁, V₂ V3} is linearly dependent (11 c), (-101), (-212). Find the value of c, for which given vectors are linearly dependent
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