a) Let T: R4 → R³ be a linear transformation. 2 --0--0-0--0-0 3 -1 -1 Find T 1 3 -2 -3 if T and T 1 = 5
a) Let T: R4 → R³ be a linear transformation. 2 --0--0-0--0-0 3 -1 -1 Find T 1 3 -2 -3 if T and T 1 = 5
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
Transcribed Image Text:a) Let T : R¹ → R³ be a linear transformation.
Find T
2
()--(D)-(C)--)-0)
=
3
and T
-1
1
3
-2
-3
if T
1
1
-1
-1
b) For in R", we say that ☞ is in the kernel of T if T(x)
that ax₁ + bx2 is also in the kernel of T for all scalars a and b.
1
1
5
(:).
1
=
0. If x₁ and x2 are both in the kernel of T,
show
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