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LinearAlgebraPaclet

Guides

  • Systems of Linear Equations

Symbols

  • CofactorMatrix
  • ConsistentMatrixQ
  • DiagonalizeMatrix
PeterBurbery`LinearAlgebraPaclet`
DiagonalizeMatrix
​
DiagonalizeMatrix
[matrix]
Do the computation to obtain a diagonalized form of the matrix
matrix
​
Examples  
(1)
Basic Examples  
(1)
Obtain the diagonalized form of a Cauchy matrix:
In[1]:=
CauchyMatrix[{1,2,3},{4,5,6}]//MatrixForm
Out[1]//MatrixForm=
1
5
1
6
1
7
1
6
1
7
1
8
1
7
1
8
1
9
In[2]:=
DiagonalizeMatrix

1
5
1
6
1
7
1
6
1
7
1
8
1
7
1
8
1
9

Out[2]=

0.448
…
,0,0,0,
3.96
…
×
-5
10
,0,0,0,
6.34
…
×
-3
10

Some matrices aren't diagonalizable:
In[3]:=
DiagonalizeMatrix

0
1
0
0

Out[3]=
DiagonalizeMatrix[{{0,1},{0,0}}]
SeeAlso
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