(a) Let w =(-5,-17,7), v 1=(0,-1,1), v² 2=(0,-2,1), v 3=(1,2,-1). If possible, express w as a linear combination of the vectors v'1, v'2 and v'3. Find w (b) Let w =(-20,5,10), v²1=(-2,1,1), v° 2=(-2,0,1). If possible, express w" as a linear combination of the vectors vi and v'2. (c) Let w =(-20,5,10), v’i=(-2,1,1), v²2=(-2,0,1). If possible, express w" as a linear combination of the vectors vi and v2. (d) Let w =(-39,22), v’1=(2.–5), v°2=(5,-4), v°3=(-4,-1). If possible, express w'as a linear combination of the vectors v1, v 2, and v'3.

Elementary Linear Algebra (MindTap Course List)
8th Edition
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Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 2CM: Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check...
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(a) Let w =(-5,-17,7), v* 1=(0,–1,1), v 2=(0,–2,1), v° 3=(1,2,–1). If possible,
express w as a linear combination of the vectors v1, v°2 and v°3. Find w.
(b) Let w =(-20,5,10), v 1=(-2,1,1), v² 2=(-2,0,1). If possible, express w as a linear
combination of the vectors vi and v'2.
(c) Let w =(-20,5,10), v’i=(-2,1,1), v2=(-2,0,1).
If possible, express w as a linear combination of the vectors vi and v'2.
(d) Let w =(-39,22), v°i=(2.–5), v°2=(5,-4), v°s=(-4,-1).
If possible, express w as a linear combination of the vectors v1, v'2, and v's.
Transcribed Image Text:(a) Let w =(-5,-17,7), v* 1=(0,–1,1), v 2=(0,–2,1), v° 3=(1,2,–1). If possible, express w as a linear combination of the vectors v1, v°2 and v°3. Find w. (b) Let w =(-20,5,10), v 1=(-2,1,1), v² 2=(-2,0,1). If possible, express w as a linear combination of the vectors vi and v'2. (c) Let w =(-20,5,10), v’i=(-2,1,1), v2=(-2,0,1). If possible, express w as a linear combination of the vectors vi and v'2. (d) Let w =(-39,22), v°i=(2.–5), v°2=(5,-4), v°s=(-4,-1). If possible, express w as a linear combination of the vectors v1, v'2, and v's.
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