Let T : R3 → R³ be a linear transformation, given by [ 1 -1 -1 T(x) -1 1 -1 х. -1 -1 1
Let T : R3 → R³ be a linear transformation, given by [ 1 -1 -1 T(x) -1 1 -1 х. -1 -1 1
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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(a) Show that the linear transformation is one-to-one. (b) Show that the linear transformation is onto. (c) Find the inverse transformation of T.
Transcribed Image Text:Let T : R3 → R³ be a linear transformation, given by
[:
1
-1
-1
T(x)
-1
1
-1
х.
-1
-1
1
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