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cholesky-matrix-transpose

A:matrix([4,1],[1,4]);

L:cholesky(A);

L.transpose(L);

Calculate

cholesky-matrix-transpose

m:matrix([3,-1,-4.566...

cholesky(m).transpose...

Calculate

cholesky-matrix-transpose

m:matrix([3,-1,-4.55]...

cholesky(m).transpose...

Calculate

cholesky-matrix-transpose

m:matrix([3,-1,-4.566...

cholesky(m).transpose...

eq: 86 -4*x -5*x^2 &g...

Calculate

cholesky-matrix-transpose

m:matrix([3,-1,-4.545...

cholesky(m).transpose...

Calculate

cholesky-matrix-transpose

m:matrix([3,-1,-4],[-...

transpose(cholesky(m));

Calculate

cholesky-matrix-transpose

m:matrix([3,-1,-4.566...

cholesky(m).transpose...

Calculate

cholesky-matrix-transpose

m:matrix([3,-1,-4.55]...

cholesky(m).transpose...

Calculate

cholesky-matrix

K: matrix([1.000, 0...

cholesky(K);

Calculate

cholesky-matrix-transpose

m:matrix([3,-1,-4.55]...

cholesky(m).transpose...

Calculate

cholesky

Run Example
(%i1)m:matrix([3,-1,-4.545],[-1,5,2],[-4.545,2,7]);
                           [    3     - 1  - 4.545 ]
                           [                       ]
(%o1)                      [   - 1     5      2    ]
                           [                       ]
                           [ - 4.545   2      7    ]
(%i2) cholesky(m).transpose(cholesky(m));
                           [    3     - 1  - 4.545 ]
                           [                       ]
(%o2)                      [   - 1     5     2.0   ]
                           [                       ]
                           [ - 4.545  2.0    7.0   ]
(%i3) 
Run Example
A:matrix([4,1],[1,4]);
                                   [ 4  1 ]
(%o1)                              [      ]
                                   [ 1  4 ]
(%i2) L:cholesky(A);
                                [ 2     0     ]
                                [             ]
(%o2)                           [ 1  sqrt(15) ]
                                [ -  -------- ]
                                [ 2     2     ]
(%i3) L*transpose(L);
                                   [ 4  0  ]
                                   [       ]
(%o3)                              [    15 ]
                                   [ 0  -- ]
                                   [    4  ]
(%i4) 
Run Example
m:matrix([3,-1,-4.5665333311999316],[-1,5,2],[-4.5665333311999316,2,7]);
               [          3           - 1  - 4.566533331199931 ]
               [                                               ]
(%o1)          [         - 1           5            2          ]
               [                                               ]
               [ - 4.566533331199931   2            7          ]
(%i2) cholesky(m).transpose(cholesky(m));
               [          3           - 1  - 4.566533331199931 ]
               [                                               ]
(%o2)          [         - 1           5           2.0         ]
               [                                               ]
               [ - 4.566533331199931  2.0          7.0         ]
(%i3) eq: 86 -4*x -5*x^2 >
 0;
                                  2
(%o3)                        - 5 x  - 4 x + 86 > 0
(%i4) 

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