Are the vectors –2 – 8x + 4x², – 4 – 12x – 20z² and -4 – 14x - 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 = (-2 – 8z + 4x²)+ (-4- 12г — 20г?)+ (4- 14г — 62?).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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Question
Are the vectors –2 – 8x + 4x2, – 4 – 12x – 20x? and -4 – 14x – 6x? 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 =
(-2 – 8x + 4x?)+
(-4 — 12г — 20г?)+
(-4 — 14г — ба?).
Transcribed Image Text:Are the vectors –2 – 8x + 4x2, – 4 – 12x – 20x? and -4 – 14x – 6x? 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 = (-2 – 8x + 4x?)+ (-4 — 12г — 20г?)+ (-4 — 14г — ба?).
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