Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Consider
A
=
(
1
2
0
0
1
1
0
0
1
)
,
B
=
(
1
−
2
k
0
1
m
0
0
1
)
.
A=\begin{pmatrix}1 & 2 & 0\\ 0 & 1 & 1\\ 0 & 0 & 1\end{pmatrix},\quad B=\begin{pmatrix}1 & -2 & k\\ 0 & 1 & m\\ 0 & 0 & 1\end{pmatrix}.
A
=
1
0
0
2
1
0
0
1
1
,
B
=
1
0
0
−
2
1
0
k
m
1
.
If
A
B
=
I
3
AB=I_3
A
B
=
I
3
and
B
A
=
I
3
BA=I_3
B
A
=
I
3
, determine the values of
k
k
k
and
m
m
m
.
Browse the problem library