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<includeonly><div class="thumb {{#switch: {{{align|}}} | left = tleft | center | centre = tnone | tright}} {{#if: {{{noclear|}}} | no-clear }}" style="width:{{#ifeq: {{{direction|horizontal}}} | vertical | {{#expr: {{#if: {{{width|}}} | {{{width}}} | {{{width1}}} }} + 12}} | {{#if: {{{width|}}} | {{#expr: 8 + ({{{width|0}}} + 4) * {{#if: {{{image5|}}} | 5 | {{#if: {{{image4|}}} | 4 | {{#if: {{{image3|}}} | 3 | 2 }} }} }} }} | {{#expr: 16 + {{{width1}}} + {{{width2}}} + {{{width3|0}}} + {{{width4|0}}} + {{{width5|0}}} + {{#if: {{{image5|}}} | 12 | {{#if: {{{image4|}}} | 8 | {{#if: {{{image3|}}} | 4 | 0 }} }} }} }} }} }}px;{{#switch: {{{align|}}} | center | centre = margin: 0 auto;}}"> <div class="thumbinner"> {{#if: {{{header|}}} | <div style="clear:both;font-weight:bold;text-align:{{{header_align|center}}};background:{{{header_background|transparent}}};">{{{header}}}</div> }} <div style="{{#ifeq: {{{direction|horizontal}}} | horizontal | float:left;}}margin:1px;width:{{#expr: 2 + {{#if: {{{width|}}} | {{{width}}} | {{{width1}}} }} }}px;"><div class="thumbimage">[[Image:{{{image1}}}|{{#if: {{{width|}}} | {{{width}}} | {{{width1}}} }}px|{{{caption1|{{{box_caption}}}}}}]]</div>{{#if: {{{caption1|}}} | <div class="thumbcaption" style="clear:left;">{{{caption1}}}</div>}}</div> <div style="{{#ifeq: {{{direction|horizontal}}} | horizontal | float:left;}}margin:1px;width:{{#expr: 2 + {{#if: {{{width|}}} | {{{width}}} | {{{width2}}} }} }}px;"><div class="thumbimage">[[Image:{{{image2}}}|{{#if: {{{width|}}} | {{{width}}} | {{{width2}}} }}px|{{{caption2|{{{box_caption}}}}}}]]</div>{{#if: {{{caption2|}}} | <div class="thumbcaption" style="clear:left;">{{{caption2}}}</div>}}</div> {{#if: {{{image3|}}} | <div style="{{#ifeq: {{{direction|horizontal}}} | horizontal | float:left;}}margin:1px;width:{{#expr: 2 + {{#if: {{{width|}}} | {{{width}}} | {{{width3}}} }} }}px;"><div class="thumbimage">[[Image:{{{image3}}}|{{#if: {{{width|}}} | {{{width}}} | {{{width3}}} }}px|{{{caption3|{{{box_caption}}}}}}]]</div>{{#if: {{{caption3|}}} | <div class="thumbcaption" style="clear:left;">{{{caption3}}}</div>}}</div> {{#if: {{{image4|}}} | <div style="{{#ifeq: {{{direction|horizontal}}} | horizontal | float:left;}}margin:1px;width:{{#expr: 2 + {{#if: {{{width|}}} | {{{width}}} | {{{width4}}} }} }}px;"><div class="thumbimage">[[Image:{{{image4}}}|{{#if: {{{width|}}} | {{{width}}} | {{{width4}}} }}px|{{{caption4|{{{box_caption}}}}}}]]</div>{{#if: {{{caption4|}}} | <div class="thumbcaption" style="clear:left;">{{{caption4}}}</div>}}</div> {{#if: {{{image5|}}} | <div style="{{#ifeq: {{{direction|horizontal}}} | horizontal | float:left;}}margin:1px;width:{{#expr: 2 + {{#if: {{{width|}}} | {{{width}}} | {{{width5}}} }} }}px;"><div class="thumbimage">[[Image:{{{image5}}}|{{#if: {{{width|}}} | {{{width}}} | {{{width5}}} }}px|{{{caption5|{{{box_caption}}}}}}]]</div>{{#if: {{{caption5|}}} | <div class="thumbcaption" style="clear:left;">{{{caption5}}}</div>}}</div>}}}}}} {{#if: {{{footer|}}} | <div class="thumbcaption" style="clear:left;text-align:{{{footer_align|left}}};background:{{{footer_background|transparent}}};">{{{footer}}}</div> }}</div></div></includeonly><noinclude> {{documentation}} <!-- PLEASE ADD CATEGORIES AND INTERWIKIS TO THE /doc SUBPAGE, THANKS --> </noinclude>	# Matice forem <{ForumPost(poster="peci1", timestamp=2009-05-21 10:38:37)}> Ahoj, tak az po predterminu jsem si uvedomil, ze na cviku z algebry k formam nam byly predlozeny nejaky bludy. Muzete mi to pls zkontrolovat?    Mam matci bil. formy (a11 a12 ... a1N) (a21 a22 ... a2N) : ............... : (aN1 aN2 ... aNN)    Symetrizaci provedu tak, ze ji zleva vynasobim (X1 ... XN) a zprava tim samym sloupcovym vektorem. Vznikne polynom. Kdyz si zpatky z toho polynomu nasazim do matice prislusna cisla, ale s tim, ze kdyz jeden polynom nalezi **k** polickum, tak do kazdeho policka napisu prislusny koef./**k** . Tim ziskam symetrizovanou formu. To uz ale neni mat. bil. formy, ne? Je to teda matice jeji prislusne kvadraticke formy?    Diky ;) <{/ForumPost}> <{ForumPost(poster="Tinka", timestamp=2009-05-21 16:43:33)}> Nemusis nic roznasobovat, z matice A bilin. formy dostanes maticu kvadr. formy tak, ze prvky na diagonale zachovas, a pre vsetky ostatne spravis (kedze matica musi byt symetricka) aritm. priemer z prvkov a<sub>ij</sub> a a<sub>ji</sub> a na prislusne miesta ich doplnis.    Takze pre maticu bilin. formy 2x2 ( 1 -2) ( 0 3)    bude vyzerat prislusna kvadr. forma takto: ( 1 -1 ) ( -1 3 )    ...kedze \[0 + (-2)] / 2 = -1 Samozrejme toto nefunguje v telese Z<sub>2</sub>, vzhladom na delenie dvojkou <{/ForumPost}>