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10 k The set S 8 3 is a basis for R³ if and only if -3 k + Check Answer

10 k The set S 8 3 is a basis for R³ if and only if -3 k + Check Answer

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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10 k The set S 8 3 is a basis for R³ if and only if -3 k + Check Answer
Transcribed Image Text:10 k The set S 8 3 is a basis for R³ if and only if -3 k + Check Answer
[2 0 -8 - 12 0 1 -7 Let A 10 (a) Find the reduced row echelon form of the matrix A. rref(A) (b) How many pivot columns does A have? 8 12 (c) Do the vectrors in the set span R?? 10 O The vectors span R? O The vectors do not span R? 12 (d) Are the vectors in the set linearly independent? 10 O The vectors are linearly independent O The vectors are linearly dependent
Transcribed Image Text:[2 0 -8 - 12 0 1 -7 Let A 10 (a) Find the reduced row echelon form of the matrix A. rref(A) (b) How many pivot columns does A have? 8 12 (c) Do the vectrors in the set span R?? 10 O The vectors span R? O The vectors do not span R? 12 (d) Are the vectors in the set linearly independent? 10 O The vectors are linearly independent O The vectors are linearly dependent
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