Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
16.-Linear-Algebra-by-Kenneth-Hoffman
· Problem 7.3.3
The Rational and Jordan Forms
Mathematics — Linear Algebra · jordan-form
Problem
If
A
A
A
is a complex
5
×
5
5 \times 5
5
×
5
matrix with characteristic polynomial
f
=
(
x
−
2
)
3
(
x
+
7
)
2
f = (x - 2)^3(x + 7)^2
f
=
(
x
−
2
)
3
(
x
+
7
)
2
and minimal polynomial
p
=
(
x
−
2
)
2
(
x
+
7
)
p = (x - 2)^2(x + 7)
p
=
(
x
−
2
)
2
(
x
+
7
)
, what is the Jordan form for
A
A
A
?
Browse the problem library