O : R³ → R4 3x1 + 2x2 + x3 x1 Xi + x2 + x3 x1 – 3x2 |2x1 + 3x2 + x3_ Ф || x2 x3
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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Transcribed Image Text:2.17 Consider the linear mapping
3
4
D : R →
3x1 + 2x2 + x3
(E)
x1
xi + x2 + x3
X2
x1 – 3x2
2x1 + 3x2 + x3.
-
x3
· Find the transformation matrix Ag.
· Determine rk(A¤).
Compute the kernel and image of ¤. What are dim(ker()) and dim(Im(@))?
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