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 Dec18 awarded Yearling Nov26 awarded Popular Question Nov4 awarded Notable Question Jul2 awarded Curious Mar28 accepted Approximation to the square root Mar28 asked Approximation to the square root Feb21 awarded Popular Question Nov8 comment Show that two matrices with the same eigenvalues are similar The one step that is a bit confusing, is the last one. You say that $y$ are the basis, but why does that mean they drop out of the equality? Nov8 comment Show that two matrices with the same eigenvalues are similar Ok, that makes sense, though I think there is a misplaced equals sign when showing that $P$ is non singular Nov8 accepted Show that two matrices with the same eigenvalues are similar Nov7 asked Show that two matrices with the same eigenvalues are similar Oct30 comment Show that $N(A^T A) \subset N(A)$ $Ab$ is orthogonal to itself which must mean that it equals zero. Is that right? Oct30 asked Show that $N(A^T A) \subset N(A)$ Oct29 revised Show that $\phi(B_n(1)) = B_n(r)$ added 27 characters in body Oct29 comment Show that $\phi(B_n(1)) = B_n(r)$ For general $E \subset \mathbb R^n$ phi is defined as $\phi(E) = \lbrace \phi(x)\in \mathbb R^n: x\in E\rbrace$ Oct29 asked Show that $\phi(B_n(1)) = B_n(r)$ Oct19 comment Prove Reverse Fatou's lemma So are you saying that $\liminf f_k = \limsup f_k$ because $f_k$ is bounded above by $f$? I thought that only applied if the limit existed. Oct19 comment Prove Reverse Fatou's lemma Lets say I have $f_k \leq f$ where $f$ is integrable, I still don't see how to move forward. Oct19 comment Prove Reverse Fatou's lemma Is that not what $f_k \leq g_j$ says? $f_k$ is dominated by the integrable function $g_j$. Oct19 comment Prove Reverse Fatou's lemma I updated the question. Is the second approach better?