ii. Consider the matrix B Find the characteristic polynomial of B and substitute in B like you did above. What matrix do you get? ii. Take a nontrivial (not I or 0) 3 × 3 matrix C and repeat the above step for This is the Question C.
ii. Consider the matrix B Find the characteristic polynomial of B and substitute in B like you did above. What matrix do you get? ii. Take a nontrivial (not I or 0) 3 × 3 matrix C and repeat the above step for This is the Question C.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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The answer to the previous question is in the second image provided.
Transcribed Image Text:ii. Consider the matrix B =
Find the characteristic polynomial of B
and substitute in B like you did above. What matrix do you get?
ii. Take a nontrivial (not I or 0) 3 × 3 matrix C and repeat the above step for
This is the
C.
Question
![B =
d
denaekriskic pehmamial of e »
pabmamial
det B-1I
a-)
b
d-)
(a -) (d-)
(A-a) (A-a)
Now
2.
B
8²_ (44 4) 8 +adI
2
B= B. B
a b
a b
a
abtbd
a b
O d
d?
o d
abtbd
+ ad
abtbd
ad o
of
a (a+-a)]
o ad
- a- ad +ad
ab tbd
ab-bd
d² ad-d? +ad
get neuel matrire
we
null](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4f9d79e-6f7f-4706-b3ab-4155f2a9739a%2F5cb11247-9203-4f3d-a33e-ec761ddd8c0e%2Fxoypj44u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:B =
d
denaekriskic pehmamial of e »
pabmamial
det B-1I
a-)
b
d-)
(a -) (d-)
(A-a) (A-a)
Now
2.
B
8²_ (44 4) 8 +adI
2
B= B. B
a b
a b
a
abtbd
a b
O d
d?
o d
abtbd
+ ad
abtbd
ad o
of
a (a+-a)]
o ad
- a- ad +ad
ab tbd
ab-bd
d² ad-d? +ad
get neuel matrire
we
null
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