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3 2. (а) Do the vectors vị = -1 -1 form a basis for R³? , V3 = 1 > V2 = -I--- (b) Do the vectors vị = V2 = V3 = V4 = 4 form a basis for R4? (c) For which value(s) of the constant c is the list of vectors vị = V2 = C V3 = a basis of R3? C -1

3 2. (а) Do the vectors vị = -1 -1 form a basis for R³? , V3 = 1 > V2 = -I--- (b) Do the vectors vị = V2 = V3 = V4 = 4 form a basis for R4? (c) For which value(s) of the constant c is the list of vectors vị = V2 = C V3 = a basis of R3? C -1

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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4 2. (а) Do the vectors vị = V2 = -1 V3 = -1 form a basis for R³? 1 , V3 = 3 form a basis (b) Do the vectors vị V4 = 4 V2 8. for R4? (c) For which value(s) of the constant c is the list of vectors vị = V2 = V3 = a basis of R3? ||
Transcribed Image Text:4 2. (а) Do the vectors vị = V2 = -1 V3 = -1 form a basis for R³? 1 , V3 = 3 form a basis (b) Do the vectors vị V4 = 4 V2 8. for R4? (c) For which value(s) of the constant c is the list of vectors vị = V2 = V3 = a basis of R3? ||
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