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small change in reduction
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lmoss committed Jan 20, 2025
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"metadata": {},
"source": [
"```{exercise}\n",
"Let $P_3$ be the matrix mortality problem for $3\\times 3$ matrices. Let $P_2$ and $P_4$ be defined similarly, for the $2\\times 2$ and $3\\times 3$ matrices. Show that $P_2 \\leq P_3 \\leq P_4$. This is a straightforward algebraic argument.\n",
"Let $P_3$ be the matrix mortality problem for $3\\times 3$ matrices. Let $P_2$ and $P_4$ be defined similarly, for the $2\\times 2$ and $4\\times 4$ matrices. Show that $P_2 \\leq P_3 \\leq P_4$. This is a straightforward algebraic argument.\n",
"\n",
"Later we will see that $P_4 \\leq P_3$, but the argument will not be not as straightforward.\n",
"```"
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