Suppose you know that f:R? → R³ is a linear function, and that (1)- 5 and 2 (a) (6 points) What is ƒ (-2)? (): What is f (b) (4 points) What is f (_)? (Hint: How is the vector [ -4] related to the two vectors [ -12] and [}] from part (a)?)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose you know that f : R^2 ---> R^3 is a linear function and that (see picture for given info...). What is f ([3 ,12])? What is f([1,3])? Please note that the matrices I gave are in one column in each of the questions asked.

Suppose you know that f:R? → R³ is a linear function, and that
(1)-
5
and
2
(a) (6
points) What is ƒ (-2)?
():
What is f
(b) (4 points) What is f (_)? (Hint: How is the vector [ -4] related
to the two vectors [ -12] and [}] from part (a)?)
Transcribed Image Text:Suppose you know that f:R? → R³ is a linear function, and that (1)- 5 and 2 (a) (6 points) What is ƒ (-2)? (): What is f (b) (4 points) What is f (_)? (Hint: How is the vector [ -4] related to the two vectors [ -12] and [}] from part (a)?)
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