Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
16.-Linear-Algebra-by-Kenneth-Hoffman
· Problem 5.2.5
Determinants
Mathematics — Linear Algebra · determinant-nilpotent-matrix
Problem
Let
A
A
A
be a
2
×
2
2 \times 2
2
×
2
matrix over a field
F
F
F
, and suppose that
A
2
=
0
A^2 = 0
A
2
=
0
. Show for each scalar
c
c
c
that
det
(
c
I
−
A
)
=
c
2
\det(cI - A) = c^2
det
(
c
I
−
A
)
=
c
2
.
Related theory
S Matrix And T Matrix
Browse the problem library