Let T: R³ R² be defined by T → Let B3 = 6 ----A-D-A---M--N} and C 5 {" (6) - L U₂ -3x1 3x2 + x3 7 { = [i], V₁ V2 = What augmented matrix should be used to find [7], the matrix representation of T with respect to the bases B and C.

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
3
Let T: R³ R² be defined by T
(C)
7
Ex: 5
-3x1
3x2 + x3
1
-~-8-{- - · ~ --~-;]}-²-{~~[1]~-[]}
Let B= =
=
--
U₂
and C:
= V₁ =
6
5
V2₂
=
What augmented matrix should be used to find [7], the matrix representation of Twith respect to the bases B
and C.
Transcribed Image Text:3 Let T: R³ R² be defined by T (C) 7 Ex: 5 -3x1 3x2 + x3 1 -~-8-{- - · ~ --~-;]}-²-{~~[1]~-[]} Let B= = = -- U₂ and C: = V₁ = 6 5 V2₂ = What augmented matrix should be used to find [7], the matrix representation of Twith respect to the bases B and C.
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