6. S is the set {(r,y): 0 << 1, 0Sy<1} in R2. The function f: R?R? is given by f(v) = Av. (a) Sketch the set S in R? %3D [-V2/2 V2/2] [-v2/2 -v2/2] (b) Sketch the set f(S) in R? if A is the matrix (c) Sketch the set f(S) in R? if A is the matrix

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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6. S is the set {(r,y) : 0 < r< 1, 0Sy<1} in R2. The function f: R2 → R? is given by
f(v) = Av.
(a) Sketch the set S in R?
%3D
[-V2/2 v2/2]
-V2/2 -v2/2
(b) Sketch the set f(S) in R? if A is the matrix
(c) Sketch the set f(S) in R? if A is the matrix
Transcribed Image Text:6. S is the set {(r,y) : 0 < r< 1, 0Sy<1} in R2. The function f: R2 → R? is given by f(v) = Av. (a) Sketch the set S in R? %3D [-V2/2 v2/2] -V2/2 -v2/2 (b) Sketch the set f(S) in R? if A is the matrix (c) Sketch the set f(S) in R? if A is the matrix
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