### Questions (25)

 3 What is $\max(|z|)$ if $\Bigl|\frac{6z - i}{2 + 3iz}\Bigr|\leq1$ 3 If $A=A^2$ is then $A^T A = A$? 2 If $A = A^*$ then $\lambda_{min} \leq\frac{\langle Av,v \rangle}{\langle v,v \rangle}\leq\lambda_{max}$ 2 What are the eigenvalues of the given matrix $M$ 1 If $P(x)$ is characteristic polynomial of $A$ then is $P(A) = 0$?

### Reputation (170)

 +10 if $AA^*=BB^*$ what are the relations between A and B +5 If $P(x)$ is characteristic polynomial of $A$ then is $P(A) = 0$? +5 If $AB=-BA$ then do $A$ and $B$ share a common eigenvector? +5 + (plus) notation in regular expression

### Answer (1)

 2 if $AA^*=BB^*$ what are the relations between A and B

### Tags (37)

 2 linear-algebra × 13 0 random-variables × 2 2 operator-theory × 6 0 integration × 2 2 adjoint-operators × 3 0 expected-value × 2 0 matrices × 9 0 complex-numbers × 2 0 eigenvalues-eigenvectors × 4 0 inequality × 2

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