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Macaulay2-1.3.1-8.fc15.i686.rpm

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<div><h1>mutable matrices</h1>
<div>To and from matrices:<table class="examples"><tr><td><pre>i1 : m = matrix{{1,2,3},{4,5,6}}

o1 = | 1 2 3 |
     | 4 5 6 |

              2        3
o1 : Matrix ZZ  &lt;--- ZZ</pre>
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<tr><td><pre>i2 : n = mutableMatrix m

o2 = | 1 2 3 |
     | 4 5 6 |

o2 : MutableMatrix</pre>
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<tr><td><pre>i3 : m2 = matrix n

o3 = | 1 2 3 |
     | 4 5 6 |

              2        3
o3 : Matrix ZZ  &lt;--- ZZ</pre>
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<tr><td><pre>i4 : m2 - m == 0

o4 = true</pre>
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Modifying and accessing entries.  Remember that the upper left entry is (0,0), not (1,1)!<table class="examples"><tr><td><pre>i5 : n_(0,0) = 212314323

o5 = 212314323</pre>
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<tr><td><pre>i6 : n_(0,0)

o6 = 212314323</pre>
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<tr><td><pre>i7 : n

o7 = | 212314323 2 3 |
     | 4         5 6 |

o7 : MutableMatrix</pre>
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Number of rows, columns, and the ring:<table class="examples"><tr><td><pre>i8 : numrows n

o8 = 2</pre>
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<tr><td><pre>i9 : numColumns n

o9 = 3</pre>
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<tr><td><pre>i10 : numcols n

o10 = 3</pre>
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<tr><td><pre>i11 : ring n

o11 = ZZ

o11 : Ring</pre>
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<p/>
<a href="_row_spand_spcolumn_spoperations.html" title="">row and column operations</a><p/>
Some other methods for creating mutable matrices.<table class="examples"><tr><td><pre>i12 : mutableIdentity(RR_100,5)

o12 = | 1 . . . . |
      | . 1 . . . |
      | . . 1 . . |
      | . . . 1 . |
      | . . . . 1 |

o12 : MutableMatrix</pre>
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<tr><td><pre>i13 : mutableMatrix(QQ,3,5)

o13 = 0

o13 : MutableMatrix</pre>
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<tr><td><pre>i14 : randomMutableMatrix(4,4,.5,100)

o14 = | .   . 68 29  |
      | -81 . .  .   |
      | .   . 90 -68 |
      | -63 . 95 .   |

o14 : MutableMatrix</pre>
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