<snapdata remixID="13498053"><project name="Matrices Example for Mathematics Analysis" app="Snap! 9.0, https://snap.berkeley.edu" version="2"><notes></notes><thumbnail>data:image/png;base64,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</thumbnail><scenes select="1"><scene name="Matrices Example for Mathematics Analysis"><notes></notes><hidden></hidden><headers></headers><code></code><blocks><block-definition s="dot product %&apos;vec1&apos; %&apos;vec2&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%l"></input><input type="%l"></input></inputs><script><block s="doReport"><block s="reportVariadicSum"><block s="reportVariadicProduct"><list><block var="vec1"/><block var="vec2"/></list></block></block></block></script></block-definition><block-definition s="multiply matrices %&apos;matA&apos; %&apos;matB&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%l"></input><input type="%l"></input></inputs><script><block s="doSetVar"><l>matB</l><block s="reportListAttribute"><l><option>columns</option></l><block var="matB"/></block></block><block s="doReport"><custom-block s="multimap %repRing over %mult%l"><block s="reifyReporter"><autolambda><custom-block s="dot product %l %l"><l/><l/></custom-block></autolambda><list></list></block><block s="reportListAttribute"><l><option>columns</option></l><block s="reportCrossproduct"><list><block var="matA"/><block var="matB"/></list></block></block></custom-block></block></script><scripts><script x="189" y="168.66666666666669"><block s="reportReshape"><l></l><list><block s="reportListAttribute"><l><option>length</option></l><block s="reportListAttribute"><l><option>columns</option></l><block var="matA"/></block></block><block s="reportListAttribute"><l><option>length</option></l><block var="matB"/></block></list></block></script></scripts></block-definition><block-definition s="multimap %&apos;function&apos; over %&apos;lists&apos;" type="reporter" category="lists"><comment x="0" y="0" w="267.3333333333333" collapsed="false">Takes as input a function of N inputs and N lists.&#xD;The function is called with item 1 of all the lists as its inputs, with item 2 of all the lists as its inputs, and so on.  (The lists should all be the same length.)</comment><header></header><code></code><translations>ca:multi-mapeja _ sobre _&#xD;</translations><inputs><input type="%repRing"></input><input type="%mult%l"></input></inputs><script><block s="doReport"><block s="reportMap"><block s="reifyReporter"><autolambda><block s="evaluate"><block var="function"/><custom-block s="%s"><l></l></custom-block></block></autolambda><list></list></block><custom-block s="$flash zip %mult%l"><block var="lists"/></custom-block></block></block></script></block-definition><block-definition s="%&apos;x&apos;" type="reporter" category="lists"><comment x="0" y="0" w="105.33333333333333" collapsed="false">The identity function reports its input.</comment><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doReport"><block var="x"/></block></script></block-definition><block-definition s="$flash zip %&apos;lists&apos;" type="reporter" category="lists"><comment x="0" y="0" w="192" collapsed="false">ZIP takes any number of lists as inputs.  The lists should all be the same length.  ZIP reports a list of lists in which the first item is a list of all the first items, the second item is a list of all the second items, etc.&#xD;Viewing the inputs as the rows of a matrix, ZIP reports its transpose.</comment><header></header><code></code><translations></translations><inputs><input type="%mult%l"></input></inputs><script><block s="doReport"><block s="reportListAttribute"><l><option>columns</option></l><block var="lists"/></block></block></script></block-definition><block-definition s="rotate point: %&apos;point&apos; by angle: %&apos;angle&apos; °" type="reporter" category="other"><header></header><code></code><translations></translations><inputs><input type="%l"></input><input type="%n">0</input></inputs><script><block s="doReport"><custom-block s="multiply matrices %l %l"><block s="reportNewList"><list><block s="reportNewList"><list><block s="reportMonadic"><l><option>cos</option></l><block var="angle"/></block><block s="reportMonadic"><l><option>neg</option></l><block s="reportMonadic"><l><option>sin</option></l><block var="angle"/></block></block></list></block><block s="reportNewList"><list><block s="reportMonadic"><l><option>sin</option></l><block var="angle"/></block><block s="reportMonadic"><l><option>cos</option></l><block var="angle"/></block></list></block></list></block><block var="point"/></custom-block></block></script></block-definition><block-definition s="shorten %&apos;num1&apos; to %&apos;num2&apos; decimals" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n">3.1415926</input><input type="%n">2</input></inputs><script><block s="doDeclareVariables"><list><l>a</l></list></block><block s="doSetVar"><l>a</l><block s="reportTextSplit"><block var="num1"/><l>.</l></block></block><block s="doIfElse"><block s="reportVariadicOr"><list><block s="reportVariadicGreaterThan"><list><l>1</l><block 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