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| Line 23: | Line 23: | ||
7bbbb7777777777777777777777777777777777777777777 | 7bbbb7777777777777777777777777777777777777777777 | ||
ffffffffffffffffffffffffffffffffffffffffffffffff | ffffffffffffffffffffffffffffffffffffffffffffffff | ||
| - | + | 7777777777777777777777777777bbbbbbbbb77777777777 | |
| - | + | ffffffffffffffffffffffffffffffffffffffffffffddff | |
| - | + | 7777777777777777bbbbb777777777777777777777ffddff | |
000000000000000000000000000000000000000000000000 | 000000000000000000000000000000000000000000000000 | ||
fffff99f9fff9ff99f9f9fffffffffffffffffffffffffff | fffff99f9fff9ff99f9f9fffffffffffffffffffffffffff | ||
| Line 55: | Line 55: | ||
.6666........................................... | .6666........................................... | ||
................................................ | ................................................ | ||
| - | ............................ | + | ............................999999999........... |
| - | ............................................ | + | ............................................cc.. |
| - | ....................................... | + | ................bbbbb.......................cc.. |
................................................ | ................................................ | ||
................................................ | ................................................ | ||
| Line 68: | Line 68: | ||
L and a sub ij | L and a sub ij | ||
L and a sub ij | L and a sub ij | ||
| - | j | + | the variable j |
range, associated variables, row or column, for j | range, associated variables, row or column, for j | ||
| - | i | + | the variable i |
range, associated variables, row or column, for i | range, associated variables, row or column, for i | ||
| - | + | v j and w i | |
These are basis vectors, emphasis on the relation between them | These are basis vectors, emphasis on the relation between them | ||
| - | + | v j | |
L | L | ||
The linear map L | The linear map L | ||
| - | + | key1 | |
key | key | ||
| - | + | a sub ij | |
| - | + | a sub ij | |
| - | + | note1 | |
about this horizontal line notation | about this horizontal line notation | ||
| - | + | linear combination in terms of basis is unique | |
| - | + | linear combination in terms of basis is unique | |
| - | + | Main LinearAlg1 | |
| - | + | Main LinearAlg1 | |
