query: Proving that $T^2-5T+6I = 0$.
positive_passages.docid: 153203
positive_passages.text: Let $4$ and $5$ be the only eigenvalues of $T$. Show $T^2-9T + 20I = 0$ , T is self adjoint.
negative_passages.docid: 52800
negative_passages.text: Show that $z^5-1=(z-1)(z^2+2z\cos{\pi \over 5}+1)(z^2-2z\cos{2\pi \over 5}+1)$
negative_passages.docid: 61274
negative_passages.text: If $AA^T$ is the zero matrix, then $A$ is the zero matrix
negative_passages.docid: 115229
negative_passages.text: Find the zeros of $h(z)=z^6-5z^4+3z^2-1$ within the unit disc - Verification
negative_passages.docid: 82083
negative_passages.text: Solving $(z+1)^5 = z^5$
negative_passages.docid: 59911
negative_passages.text: Looking for help with a proof that n-th derivative of $e^\frac{-1}{x^2} = 0$ for $x=0$.
negative_passages.docid: 20705
negative_passages.text: On equations $m^2+1=5^n$
negative_passages.docid: 153406
negative_passages.text: $[F(t):F(t^n)]=n$ where $t$ is trascendental
negative_passages.docid: 114411
negative_passages.text: Simple Proof of the Euler Identity $\exp{i\theta}=\cos{\theta}+i\sin{\theta}$
negative_passages.docid: 143689
negative_passages.text: Real $2\times 2$ matrix $X$ such that $X^2 + 2X= -5I$
negative_passages.docid: 30429
negative_passages.text: How to prove $\cos \frac{2\pi }{5}=\frac{-1+\sqrt{5}}{4}$?
negative_passages.docid: 145882
negative_passages.text: How prove this $\frac{a}{(bc-a^2)^2}+\frac{b}{(ca-b^2)^2}+\frac{c}{(ab-c^2)^2}=0$
negative_passages.docid: 31783
negative_passages.text: Is this proof of $ab = 0$ correct?
negative_passages.docid: 158335
negative_passages.text: Why is this $0 = 1$ proof wrong?
negative_passages.docid: 137970
negative_passages.text: $2 + 2 = 5$ (Fake proof, or ?)
negative_passages.docid: 9143
negative_passages.text: Solve $u_{xx}-3u_{xt}-4u_{tt}=0$ where $u(x,0)=x^2$ and $u_t(x,0)=e^x$
negative_passages.docid: 47829
negative_passages.text: Prove that $\operatorname{trace}(A^TA) = 0\ \iff\ A = 0$.