Let h 71 = -6 -36 V2 30 I 4 24 -20 I and 3 = a. For what value(s) of his v3 € Span{₁, V₂}? If all values are acceptable, enter (-∞, ∞). If no values are acceptable, enter DNE. 2 16 h b. For what value(s) of his {1, 2, 3} linearly dependent? If all values are acceptable, enter (-∞, ∞). If no values are acceptable, enter DNE. h = Please note that, on an exam or quiz, you would be expected to defend your reasoning by showing your work.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let
v₁ =
h=
=
=
4
-36 V₂ 24
-[]
- 20
-6
[]
30
I
and 3 =
-
a. For what value(s) of h is v3 € Span{V₁, V₂}?
If all values are acceptable, enter (-∞, ∞). If no values are acceptable, enter DNE.
h =
2
16
h
b. For what value(s) of h is {V1, V2, V3} linearly dependent?
If all values are acceptable, enter (-∞, ∞). If no values are acceptable, enter DNE.
Please note that, on an exam or quiz, you would be expected to defend your reasoning by showing
your work.
Transcribed Image Text:Let v₁ = h= = = 4 -36 V₂ 24 -[] - 20 -6 [] 30 I and 3 = - a. For what value(s) of h is v3 € Span{V₁, V₂}? If all values are acceptable, enter (-∞, ∞). If no values are acceptable, enter DNE. h = 2 16 h b. For what value(s) of h is {V1, V2, V3} linearly dependent? If all values are acceptable, enter (-∞, ∞). If no values are acceptable, enter DNE. Please note that, on an exam or quiz, you would be expected to defend your reasoning by showing your work.
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