Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
PeterBurbery`NewLinearAlgebraPaclet`
TopArrowMatrix  |
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Examples
(1)
Basic Examples
(1)
Here are some example of top area matrices.
The function isn't really designed by 1 by 1 and 2 by 2 matrices:
In[1]:=
MatrixForm@
[{{1}}]
 | TopArrowMatrix |
Out[1]//MatrixForm=
(
)
1 |
In[2]:=
MatrixForm@
[2]
| TopArrowMatrix |
 | PyramidMatrix |
Out[2]//MatrixForm=
1 | 1 |
0 | 0 |
The function is designed for matrices of sizes 3 and up:
In[3]:=
MatrixForm@
[3]
| TopArrowMatrix |
| PyramidMatrix |
Out[3]//MatrixForm=
1 | 1 | 1 |
0 | 2 | 0 |
0 | 0 | 0 |
In[4]:=
MatrixForm@
[4]
| TopArrowMatrix |
| PyramidMatrix |
Out[4]//MatrixForm=
1 | 1 | 1 | 1 |
0 | 2 | 2 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
In[5]:=
MatrixForm@
[5]
| TopArrowMatrix |
| PyramidMatrix |
Out[5]//MatrixForm=
1 | 1 | 1 | 1 | 1 |
0 | 2 | 2 | 2 | 0 |
0 | 0 | 3 | 0 | 0 |
0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 |
In[6]:=
MatrixForm@
[6]
| TopArrowMatrix |
| PyramidMatrix |
Out[6]//MatrixForm=
1 | 1 | 1 | 1 | 1 | 1 |
0 | 2 | 2 | 2 | 2 | 0 |
0 | 0 | 3 | 3 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
The function will work with rectangular matrices.
Here is a long wide short rectangular matrix:
In[7]:=
MatrixForm@
[Partition[Range[30],6]]
| TopArrowMatrix |
Out[7]//MatrixForm=
1 | 2 | 3 | 4 | 5 | 6 |
0 | 8 | 9 | 10 | 11 | 0 |
0 | 0 | 15 | 16 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 |
Here is a tall skinny rectangular matrix:
In[8]:=
MatrixForm@
[Partition[Range[30],5]]
| TopArrowMatrix |
Out[8]//MatrixForm=
1 | 2 | 3 | 4 | 5 |
0 | 7 | 8 | 9 | 0 |
0 | 0 | 13 | 0 | 0 |
0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 |
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