Are the vectors 16 + 16x – 12x2, linearly independent + - 12 – 12x – 12x2 and 18 + 18x – 3x2 linearly independent? 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 = (16 + 16x – 12x²)+ (-12 — 12 — 12а?)+ (18 + 182 — За2).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 66E
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Question
choose
linearly dependent
12x?, – 12 – 12x – 12x? and 18 + 18x – 3x2 linearly independent?
V linearly independent
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 =
(16 + 16x – 12x²)+
(-12 – 12x – 12x?)+
(18 + 18x – 3x²).
Transcribed Image Text:choose linearly dependent 12x?, – 12 – 12x – 12x? and 18 + 18x – 3x2 linearly independent? V linearly independent 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 = (16 + 16x – 12x²)+ (-12 – 12x – 12x?)+ (18 + 18x – 3x²).
Are the vectors 16 + 16x – 12x², – 12 – 12x – 12x? and 18 + 18x – 3x2 linearly independent?
linearly independent
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 =
(16 + 16x – 12x²)+
(-12 – 12x – 12x²)+
(18 + 18x – 3x?).
Transcribed Image Text:Are the vectors 16 + 16x – 12x², – 12 – 12x – 12x? and 18 + 18x – 3x2 linearly independent? linearly independent 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 = (16 + 16x – 12x²)+ (-12 – 12x – 12x²)+ (18 + 18x – 3x?).
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