Prove fibonacci with matrixes
42435
Proof of this result related to Fibonacci numbers: $\begin{pmatrix}1&1\\1&0\end{pmatrix}^n=\begin{pmatrix}F_{n+1}&F_n\\F_n&F_{n-1}\end{pmatrix}$?
25961
Prove: $\binom{n}{0}F_0+\binom{n}{1}F_1+\binom{n}{2}F_2+\cdots+\binom{n}{n}F_n=F_{2n}$
10478
Matrix reciprocal positive to prove $λ_{max⁡}=n$
130498
Linear algebra proof regarding matrices
32103
Show that for a $2\times 2$ matrix $A^2=0$
127127
Prove condition number of a invertible matrix is atleast one
62565
Prove: the intersection of Fibonacci sequence and Mersenne sequence is just $\{1,3\}$
133017
Prove that $n^n>1\times3\times5\times7\times \dots\times(2n-1)$
31149
Prove that matrix can be square of matrix with real entries
136459
Prove ${n - 1 \choose k - 1} + {n - 2 \choose k - 1} + {n - 3 \choose k - 1} + \dots + {k - 1 \choose k - 1} = {n \choose k}$
37162
Prove that matrices have equal rank.
27217
For the Fibonacci sequence prove that $\sum_{i=1}^n F_i= F_{n+2} - 1$
112948
Fibonacci addition law $F_{n+m} = F_{n-1}F_m + F_n F_{m+1}$
120744
How many $n\times m$ binary matrices are there, up to row and column permutations?
123275
Prove $[A,B^n] = nB^{n-1}[A,B]$
85992
how to prove the chain rule?
25004
Proving $\binom{m}{n} + \binom{m}{n-1} = \binom{m+1}{n}$ algebraically