4. 000 (a) (b) (c) (d) Let T: R³ R³, suppose we have 2 sets of bases: ß= {₁, 2, e3} and a = (e) If we have {T(e₁), T(e₂), T(es)} = Please find [T]- If v = (0, 1, 1), find T(v). Please find [v] Please find [T] Following (b), if [v]s -6 = m N N N ()}. verify that [T][v] = [T], [v] = [T(v)],

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

A,B,C,D, and E

4.
000
(a)
(b)
(c)
(d)
Let T: R³ R³, suppose we have 2 sets of bases: p= {₁, 2, e3} and a =
→>>
(e)
If we have (T(e₁), T(e₂), T(es)} =
Please find [T]-
If v = (0, 1, 1), find T(v).
Please find [v]
Please find [T]
Following (b), if [v],
-6
=
N
N
()}.
verify that [T][v] = [T], [v] = [T(v)], -
Transcribed Image Text:4. 000 (a) (b) (c) (d) Let T: R³ R³, suppose we have 2 sets of bases: p= {₁, 2, e3} and a = →>> (e) If we have (T(e₁), T(e₂), T(es)} = Please find [T]- If v = (0, 1, 1), find T(v). Please find [v] Please find [T] Following (b), if [v], -6 = N N ()}. verify that [T][v] = [T], [v] = [T(v)], -
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