Fibonacci and Matrices
42435
Proof of this result related to Fibonacci numbers: $\begin{pmatrix}1&1\\1&0\end{pmatrix}^n=\begin{pmatrix}F_{n+1}&F_n\\F_n&F_{n-1}\end{pmatrix}$?
74460
Matrices A+B=AB implies A commutes with B
119891
Divisibility and the Fibonacci sequence
108567
Nielsen & Chuang Exercise 2.2 - “Matrix representations: example”
123044
Commutative matrices are multiples of the identity
42105
Fibonacci proof by induction
120744
How many $n\times m$ binary matrices are there, up to row and column permutations?
140517
Sum of the entries in the matrix $A^3$
91028
determinant of a matrix with binomial coefficient entries
30273
Fibonacci Recurrence Relations
20659
Is trace invariant under cyclic permutation with rectangular matrices?
12910
For the Fibonacci numbers, show for all $n$: $F_1^2+F_2^2+\dots+F_n^2=F_nF_{n+1}$
52882
find nonsingular matrices $B$ and $C$ that satisfy $BC+ CB= 0$
130498
Linear algebra proof regarding matrices
27968
Fibonacci sequence proof
26973
Relation between Pascal's triangle and fibonacci series.
37252
How can I show that $\begin{pmatrix} 1 & 1 \\ 0 & 1\end{pmatrix}^n = \begin{pmatrix} 1 & n \\ 0 & 1\end{pmatrix}$?