Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
If
A
=
[
0
1
−
1
2
1
3
3
2
1
]
A = \begin{bmatrix} 0 & 1 & -1 \\ 2 & 1 & 3 \\ 3 & 2 & 1 \end{bmatrix}
A
=
0
2
3
1
1
2
−
1
3
1
, then
(
Adj
(
A
)
⋅
A
−
1
)
⋅
A
(\text{Adj}(A) \cdot A^{-1}) \cdot A
(
Adj
(
A
)
⋅
A
−
1
)
⋅
A
is equal to a.
[
−
6
0
0
0
−
6
0
0
0
−
6
]
\begin{bmatrix} -6 & 0 & 0 \\ 0 & -6 & 0 \\ 0 & 0 & -6 \end{bmatrix}
−
6
0
0
0
−
6
0
0
0
−
6
b.
[
0
1
−
1
1
1
6
1
1
1
]
\begin{bmatrix} 0 & 1 & -1 \\ 1 & 1 & 6 \\ 1 & 1 & 1 \end{bmatrix}
0
1
1
1
1
1
−
1
6
1
c.
[
3
0
0
0
3
0
0
0
3
]
\begin{bmatrix} 3 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 3 \end{bmatrix}
3
0
0
0
3
0
0
0
3
d.
[
1
0
0
0
1
0
0
0
1
]
\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}
1
0
0
0
1
0
0
0
1
Browse the problem library