Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
If
A
=
[
3
−
4
1
−
1
]
A = \begin{bmatrix} 3 & -4 \\ 1 & -1 \end{bmatrix}
A
=
[
3
1
−
4
−
1
]
use mathematical induction to show that
A
n
=
[
1
+
2
n
−
4
n
n
1
−
2
n
]
,
∀
n
∈
N
A^n = \begin{bmatrix} 1+2n & -4n \\ n & 1-2n \end{bmatrix}, \forall n \in N
A
n
=
[
1
+
2
n
n
−
4
n
1
−
2
n
]
,
∀
n
∈
N
.
Browse the problem library