4. Linear operator A = -> ; IR² → IR², "√ = {XEIR² | X₁ <3, X₁-2×27-2, X₁+2×2 > 2}. Sketch the Image A(R) and initial domain Find area of hand area of Alor).
4. Linear operator A = -> ; IR² → IR², "√ = {XEIR² | X₁ <3, X₁-2×27-2, X₁+2×2 > 2}. Sketch the Image A(R) and initial domain Find area of hand area of Alor).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Linear operator A = [0 1;1 1]: R^2 to R^2, omega = {x in R^2 | x1<3, x1-2x2>-2, x1+2x2>2}. Sketch the range A(omega) and initial domain omega. Find area of omega and area of A(omega).
Transcribed Image Text:4. Linear operator A =
->
; IR² → IR²,
"√ = {XEIR² | X₁ <3, X₁-2×27-2, X₁+2×2 > 2}.
Sketch the
Image
A(R) and initial domain
Find area of hand area of Alor).
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