x1 + x2 + x3 2x1 - x2 + 3x3 -3x2 + x3 3x1 + 4x3 Find the matrix representation of T. et T: R³ R4: T → a) (B) be a linear transformation.
x1 + x2 + x3 2x1 - x2 + 3x3 -3x2 + x3 3x1 + 4x3 Find the matrix representation of T. et T: R³ R4: T → a) (B) be a linear transformation.
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. Let T: R³ → R4; T
(a)
(b)
x1 + x2 + x3
2x1x₂ + 3x3
-3x2 + x3
3x1 +4x3
Find the matrix representation of T.
(E)-
=
be a linear transformation.
s Find a basis for the kernel of T, ker T.
Vera Astinit
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