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Write "T" or "F" to indicate true or false if vector v is a linear combination of the vectors in the set S. If u can be expressed as a linear combination, write out the corresponding linear combination; otherwise, place 0 in all corresponding boxes. 11 2 -5 1) -5 :0= is a linear combination of the set S containing the vectors 3 -5 4 5 20 -5 -3 -5 The corresponding linear combination would be: 11 2 -3 + 20 + 2

Write "T" or "F" to indicate true or false if vector v is a linear combination of the vectors in the set S. If u can be expressed as a linear combination, write out the corresponding linear combination; otherwise, place 0 in all corresponding boxes. 11 2 -5 1) -5 :0= is a linear combination of the set S containing the vectors 3 -5 4 5 20 -5 -3 -5 The corresponding linear combination would be: 11 2 -3 + 20 + 2

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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Write "T" or "F" to indicate true or false if vector v is a linear combination of the vectors in the set S. If u can be expressed as a linear combination, write out the corresponding linear combination; otherwise, place 0 in all corresponding boxes. 2 -5 1) :0= is a linear combination of the set S containing the vectors BIEB 5 20 The corresponding linear combination would be: 2 -3 5 20 -5 44 2 24 -9 2) :0= iis a linear combination of the set S containing the vectors 23 -6] The corresponding linear combination would be: - -4 24 23 -6 = + + -5 3. 3) :0= - 1+ 2x - 5x²5x³ is a linear combination of the set S containing the vectors (4-5x -5x² + x³), (5-4x2x² + 2x³), (5-5x - x² + x³): The corresponding linear combination would be: (5-4x - 2x² + 2x³) + -1 + 2x - 5x² - 5x³ = (4-5x -5x² + x³) + (5-5x - x² + x³) 11 ņ úr úr wir -5 + [13 -2 -5 کاری
Transcribed Image Text:Write "T" or "F" to indicate true or false if vector v is a linear combination of the vectors in the set S. If u can be expressed as a linear combination, write out the corresponding linear combination; otherwise, place 0 in all corresponding boxes. 2 -5 1) :0= is a linear combination of the set S containing the vectors BIEB 5 20 The corresponding linear combination would be: 2 -3 5 20 -5 44 2 24 -9 2) :0= iis a linear combination of the set S containing the vectors 23 -6] The corresponding linear combination would be: - -4 24 23 -6 = + + -5 3. 3) :0= - 1+ 2x - 5x²5x³ is a linear combination of the set S containing the vectors (4-5x -5x² + x³), (5-4x2x² + 2x³), (5-5x - x² + x³): The corresponding linear combination would be: (5-4x - 2x² + 2x³) + -1 + 2x - 5x² - 5x³ = (4-5x -5x² + x³) + (5-5x - x² + x³) 11 ņ úr úr wir -5 + [13 -2 -5 کاری
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