query: Why $c(a_1 \ a_2 \dots \ a_k)c^{-1}=(c(a_1) c(a_2)… c(a_k))$?
positive_passages.docid: 153721
positive_passages.text: Conjugating a permutation
negative_passages.docid: 103223
negative_passages.text: If $x^a$ is $x$ multiplied $a$ times, then how does $x^{-1}$ make sense?
negative_passages.docid: 82097
negative_passages.text: If $A \succeq B$, is it true that $B^{-1} \succeq A^{-1}$?
negative_passages.docid: 30600
negative_passages.text: Why does $\tan^{-1}(1)+\tan^{-1}(2)+\tan^{-1}(3)=\pi$?
negative_passages.docid: 107390
negative_passages.text: Why is (-1)(-1) = 1?
negative_passages.docid: 130799
negative_passages.text: Matrix of rank 1; show that $A^2=cA$ for some scalar $c$.
negative_passages.docid: 6128
negative_passages.text: If $a \cdot a = 1$ then $a = 1$ or $a = -1$
negative_passages.docid: 147627
negative_passages.text: Relation between condition numbers $\kappa(A^T A)$ and $\kappa(A)$
negative_passages.docid: 108740
negative_passages.text: $C^1[a,b]$ is closed in $C[a,b]$
negative_passages.docid: 86919
negative_passages.text: When (and more importantly, why) does $AA^T$ have an inverse?
negative_passages.docid: 150738
negative_passages.text: Proof of $(A - B) - C = A - (B \cup C)$
negative_passages.docid: 34714
negative_passages.text: What is the relationship between $\ker(A), \ker(A^2), \ldots, \ker(A^n)$?
negative_passages.docid: 125030
negative_passages.text: Prove that $\det(A)=p_1p_2-ba={bf(a)-af(b)\over b-a}$
negative_passages.docid: 76100
negative_passages.text: Showing that $\left\langle a,b \mid abab^{-1}\right\rangle \cong \pi_1(K) \cong \left\langle c,d \mid c^2 d^2 \right\rangle$
negative_passages.docid: 21217
negative_passages.text: $G$, group. $a,b\in G$. Show that $|a|=|a^{-1}|; |ab|=|ba|$, and $|a|=|cac^{-1}|, \forall c\in G$.
negative_passages.docid: 33633
negative_passages.text: Re:$ (a,b,c,d)=(pr+qs, qr-ps,pr-qs,ps+qr) $
negative_passages.docid: 10024
negative_passages.text: How to prove $(f \circ\ g) ^{-1} = g^{-1} \circ\ f^{-1}$? (inverse of composition)