Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
A
=
[
2
3
1
−
4
]
A = \begin{bmatrix} 2 & 3 \\ 1 & -4 \end{bmatrix}
A
=
[
2
1
3
−
4
]
and
B
=
[
1
−
2
−
1
3
]
B = \begin{bmatrix} 1 & -2 \\ -1 & 3 \end{bmatrix}
B
=
[
1
−
1
−
2
3
]
, then verify that
(
A
B
)
−
1
=
B
−
1
A
−
1
(AB)^{-1} = B^{-1}A^{-1}
(
A
B
)
−
1
=
B
−
1
A
−
1
.
Browse the problem library