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### Questions (60)

 4 If $\lambda^n$ is an eigenvalue of $A^n$ then $\lambda$ is an eigenvalue of $A$? 3 What is the ratio between $|\langle Av,v \rangle |$ and $\|v\|^2$ where $A$ is an $n\times n$ unitary matrix and $v\in \mathbb C^n$? 3 Describe the subgroup $K\leq S_4$ of order 8 3 What can we conclude from the equality $m_A(x) = m_B(x)$? [closed] 3 If $A^4=I$ then $A$ must be diagonalizable?

### Reputation (594)

 +5 Evaluating a simple sum bound +5 If $\lambda^n$ is an eigenvalue of $A^n$ then $\lambda$ is an eigenvalue of $A$? +10 Calculating number of non-zero elements in a lower triangular matrix +5 If $H , K$ are subgroups of $G$ and $HK$ is subgroup of $G$ then $|H|$, $|K|$ aren't co-prime?

 3 Calculating number of non-zero elements in a lower triangular matrix 2 How to prove this following trigonometric equation? 1 Solve recurrence equation $T(n)=2T(n-1)-4$ 1 Futamura Projections- Compatibility - Interpreter and Compiler 1 Find a basis of $\ker T$ and $\dim (\mathrm{im}(T))$ of a linear map from polynomials to $\mathbb{R}^2$

### Tags (26)

 4 linear-algebra × 34 1 recurrence-relations 2 trigonometry 0 matrices × 22 1 polynomials × 2 0 abstract-algebra × 15 1 computability × 2 0 computational-complexity × 12 1 nonlinear-system 0 group-theory × 12

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 Mathematics 594 rep 415 Stack Overflow 470 rep 420 Physical Fitness 214 rep 28 Computer Science 137 rep 4 Cryptography 113 rep 3