Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Related questions
Question
Transcribed Image Text:Suppose B is a 7-by-7 matrix with characteristic polynomial
(A – 1) (A – 4)²
|
Also, assume the following is known about $B$:
The nullity of B-l is 3.
The nullity of B-4l is 1
The nullity of (B-1)2 is 4.
Which of the following is the Jordan canonical form of B?
![1 0 0 0 0
0 1 1 0 0 0 o
0 0 1 0 0 0 0
0 0 0 1 0 0 0
0 0 0 0 1 0 0
0 0 0 0 0 4 1
_0 0 0 0 0 0 4_
1
o [1 1 0 0 0 0 0
0 1 1
0 0 0 0
0 0 1 0 0 0 0
0 0 0 1 0 0 0
0 0 0 0 1 0 0
0 0 0 0 0 40
Lo o 0 0 0 0 .
[1 1 0 0 0 0 01
0 1 0 0 0 0 0
0 0 1 1 0 0 0
0 0 0 1 0 0 0
0 0 0 0 1 0 0
0 0 0 0 0 4 0
_0 0 0 0 0 0 4.
o [1 1 0 0 0 0 0
0 1 0 0 0 0 o
0 0 1 1 0 0 0
0 0 0 10 0 0
0 0 0 0 1 0 0
0 0 0 0 0 4 1
Lo o 0 0
0 0 4]
o [1 0 0 0 o o 0°
0 0 0
0 1 0 0
0 0 10 0 0 0
0 0 0 1 0 0 0
0 0 0 0 1 0 0
0 4 0
0 0 0 0
0 0 0 0 0 0 4]](https://content.bartleby.com/qna-images/question/ef8c06e7-2079-4608-8c71-8093d2fc89d4/6ca9e684-6286-45fd-a3ba-47c71e3874b3/7gjgw4n_processed.png)
Transcribed Image Text:1 0 0 0 0
0 1 1 0 0 0 o
0 0 1 0 0 0 0
0 0 0 1 0 0 0
0 0 0 0 1 0 0
0 0 0 0 0 4 1
_0 0 0 0 0 0 4_
1
o [1 1 0 0 0 0 0
0 1 1
0 0 0 0
0 0 1 0 0 0 0
0 0 0 1 0 0 0
0 0 0 0 1 0 0
0 0 0 0 0 40
Lo o 0 0 0 0 .
[1 1 0 0 0 0 01
0 1 0 0 0 0 0
0 0 1 1 0 0 0
0 0 0 1 0 0 0
0 0 0 0 1 0 0
0 0 0 0 0 4 0
_0 0 0 0 0 0 4.
o [1 1 0 0 0 0 0
0 1 0 0 0 0 o
0 0 1 1 0 0 0
0 0 0 10 0 0
0 0 0 0 1 0 0
0 0 0 0 0 4 1
Lo o 0 0
0 0 4]
o [1 0 0 0 o o 0°
0 0 0
0 1 0 0
0 0 10 0 0 0
0 0 0 1 0 0 0
0 0 0 0 1 0 0
0 4 0
0 0 0 0
0 0 0 0 0 0 4]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Similar questions
- Find the orthogonal diagonalization of the following symmetric matrices. [13 6 11 a. A = b. A = 6 -31 -1 11 −1 -1 -11 -1 11.arrow_forwardFind a sequence of elementary matrices whose product is the given nonsingular matrix A = [1 2 3] 256 1 3 4arrow_forwardFind a non-zero 2 x 2 matrix such that 4 -8 6 -12] 0 0 0 0 -CJ =arrow_forward
- Find the characteristic polynomial of the matrix [58 3.arrow_forwardWhich of the following six sets are subrings of M(R)? Which ones have an identity? 0 0 (a) All matrices of the form (8 5) with reQ. (b) All matrices of the form (c) All matrices of the form (d) All matrices of the form (a b) 0 Ca a a with a, b, cЄZ. b with a, b, c = R. 0 with a Є R. 0 with a ЄR. (e) All matrices of the form a (69) (f) All matrices of the form 0 (a) with a ЄR. 0arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
Numerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY 
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,