beamer - Vrije Universiteit Amsterdam
beamer - Vrije Universiteit Amsterdam
beamer - Vrije Universiteit Amsterdam
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Rewrite<br />
▶ Rewrite to classic form Ax = b;<br />
π T P = π T ⇔ (I − P T )π = 0<br />
▶ Delete a row (why?!) and add ∑<br />
j∈I πj = 1.<br />
▶ Example<br />
⎛<br />
0.4 0.4 0.0 0.2 0.0 0.0 0.0 0.0<br />
⎞<br />
0.0<br />
⎜<br />
0.0<br />
⎜<br />
⎜0.5<br />
⎜<br />
⎜0.0<br />
P = ⎜<br />
⎜0.0<br />
⎜<br />
⎜0.0<br />
⎜<br />
⎜0.6<br />
⎝0.0<br />
0.5<br />
0.0<br />
0.0<br />
0.0<br />
0.0<br />
0.0<br />
0.5<br />
0.3<br />
0.4<br />
0.0<br />
0.0<br />
0.0<br />
0.0<br />
0.0<br />
0.0<br />
0.0<br />
0.4<br />
0.0<br />
0.5<br />
0.0<br />
0.0<br />
0.2<br />
0.0<br />
0.3<br />
0.2<br />
0.0<br />
0.0<br />
0.0<br />
0.0<br />
0.1<br />
0.0<br />
0.0<br />
0.1<br />
0.0<br />
0.0<br />
0.0<br />
0.0<br />
0.3<br />
0.5<br />
0.0<br />
0.2<br />
0.0<br />
0.0<br />
0.0<br />
0.0<br />
0.3<br />
0.0<br />
0.2<br />
0.4<br />
0.0 ⎟<br />
0.0 ⎟<br />
0.0 ⎟<br />
0.0 ⎟<br />
0.4 ⎟<br />
0.0 ⎟<br />
0.1⎠<br />
0.0 0.0 0.7 0.0 0.0 0.0 0.0 0.0 0.3<br />
c⃝ Ad Ridder (VU) SOR– Fall 2012 33 / 36
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