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 16 If $x \neq 0,y \neq 0,$ then $x^2+xy+y^2$ is … 10 Dividing a number by zero 10 How can i simplify $b^\frac{\ln a}{\ln b}$? 8 on a group with perfect automorphism group 8 Let $A^{27}=A^{64}=I$, show that $A=I$

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 +30 Finding the vector perpendicular to the plane +10 Given $C$ is a $2\times 2$ matrix and $C^3=0$, determine whether $C^2=0$. +10 If $x \neq 0,y \neq 0,$ then $x^2+xy+y^2$ is … +10 Area of triangle described as a determinant

### Questions (21)

 7 Find eigenspaces using ruler and compasses 5 Does $G\times K\cong H\times K$ imply $G\cong H$? 5 Maximal abelian subgroups in a $p$-group are always normal? 4 What is the structure of the Coxeter groups of type $\text{D}_n$ 4 Irreducible subgroups of $\text{GL}(2,p)$

### Tags (87)

 29 linear-algebra × 15 17 matrices × 9 24 algebra-precalculus × 5 13 real-analysis × 10 21 group-theory × 32 12 polynomials × 5 20 inequality × 11 10 calculus × 7 18 limits × 8 10 graph-theory × 6

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