Let T be a linear operator on R³ such that the rational form of T is [T] B = 0-20 1 0 for some ordered basis B = {B₁, B2, B3). B1,B2, B3 such that [7]B is in Jordan form. 30 02 Find a basis B' = (a, a,as) in terms of
Let T be a linear operator on R³ such that the rational form of T is [T] B = 0-20 1 0 for some ordered basis B = {B₁, B2, B3). B1,B2, B3 such that [7]B is in Jordan form. 30 02 Find a basis B' = (a, a,as) in terms of
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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Question
![2. Let T be a linear operator on R³ such that the rational form of T is
0 -2 0
1
30
0 02
[T]s=
for some ordered basis B =
B1, 82, 83 such that [7] is in Jordan form.
(B1,B2, B3). Find a basis B'
=
{a₁, a2, a3) in terms of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F655e5d67-ab19-404c-b883-3aa3c693f6a1%2F41b0eb95-9100-4b3b-a264-430e0202ebc1%2F22a3lz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let T be a linear operator on R³ such that the rational form of T is
0 -2 0
1
30
0 02
[T]s=
for some ordered basis B =
B1, 82, 83 such that [7] is in Jordan form.
(B1,B2, B3). Find a basis B'
=
{a₁, a2, a3) in terms of
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