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 3 Prove a ≡ b mod m ∧ a ≡ b mod n ⇒ a ≡ b mod lcm(m,n) (Stuck midway through solution) 3 Proof that $(A+B)^T=A^T+B^T$ (homework question) 2 Prove $\{n^2\}_{n=1}^{\infty}$ is not convergent 1 How many $0$s does the number $30!$ have? 0 Discontinuous function counter example

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### Questions (5)

 5 Is it possible to find a companion matrix of a polynomial which is also hermitian? 2 Eigenvectors of the companion matrix [duplicate] 2 Number of zeros of a periodic function 1 Please check this perturbation solution of polynomial root and truncation order. 0 Lowest root of a quintic equation with 5 positive roots

### Tags (23)

 3 linear-algebra × 3 3 discrete-mathematics 3 matrices 2 sequences-and-series 3 congruences 2 epsilon-delta 3 matrix-equations 2 convergence 3 least-common-multiple 1 number-systems