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Are the vectors 1-3x - x², 9x2 + 4x² and 3 - 13x - 6x² linearly independent? choose If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0 = (1-3x - x²)+ (313x6x²). (9x2+4x²)+

Are the vectors 1-3x - x², 9x2 + 4x² and 3 - 13x - 6x² linearly independent? choose If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0 = (1-3x - x²)+ (313x6x²). (9x2+4x²)+

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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Are the vectors 1 - 3x − x², 9x − 2 + 4x² and 3 - 13x − 6x² linearly independent? - choose If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0 = (1 - 3x - x²)+ (3 - 13x - 6x²). (9x2+4x²)+
Transcribed Image Text:Are the vectors 1 - 3x − x², 9x − 2 + 4x² and 3 - 13x − 6x² linearly independent? - choose If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0 = (1 - 3x - x²)+ (3 - 13x - 6x²). (9x2+4x²)+
Are the vectors u = [-4 -3 -3], [3 -1 -4] and = [-7 -15 -24] linearly independent? Choose If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 0. ū+ Pv+ W =
Transcribed Image Text:Are the vectors u = [-4 -3 -3], [3 -1 -4] and = [-7 -15 -24] linearly independent? Choose If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 0. ū+ Pv+ W =
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