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|00000000| 5c 73 65 63 74 69 6f 6e | 7b 69 73 73 79 6d 6d 20 |\section|{issymm |
|00000010| 2d 2d 2d 20 54 65 73 74 | 20 66 6f 72 20 73 79 6d |--- Test| for sym|
|00000020| 6d 65 74 72 69 63 20 6d | 61 74 72 69 78 7d 0d 5c |metric m|atrix}.\|
|00000030| 6c 61 62 65 6c 7b 66 6e | 3a 69 73 73 79 6d 6d 7d |label{fn|:issymm}|
|00000040| 0d 5c 69 6e 64 65 78 7b | 69 73 73 79 6d 6d 28 29 |.\index{|issymm()|
|00000050| 7d 0d 5c 69 6e 64 65 78 | 7b 74 65 73 74 20 66 6f |}.\index|{test fo|
|00000060| 72 20 73 79 6d 6d 65 74 | 72 69 63 20 6d 61 74 72 |r symmet|ric matr|
|00000070| 69 78 7d 0d 5c 69 6e 64 | 65 78 7b 73 79 6d 6d 65 |ix}.\ind|ex{symme|
|00000080| 74 72 69 63 20 6d 61 74 | 72 69 78 7d 0d 5c 69 6e |tric mat|rix}.\in|
|00000090| 64 65 78 7b 6d 61 74 72 | 69 78 21 73 79 6d 6d 65 |dex{matr|ix!symme|
|000000a0| 74 72 69 63 7d 0d 5c 69 | 6e 64 65 78 7b 6d 61 74 |tric}.\i|ndex{mat|
|000000b0| 72 69 78 21 48 65 72 6d | 69 74 69 61 6e 7d 0d 5c |rix!Herm|itian}.\|
|000000c0| 62 65 67 69 6e 7b 72 61 | 69 6c 7d 0d 49 73 53 79 |begin{ra|il}.IsSy|
|000000d0| 6d 6d 20 3a 20 27 69 73 | 73 79 6d 6d 27 20 27 28 |mm : 'is|symm' '(|
|000000e0| 27 20 4d 61 74 72 69 78 | 20 20 27 29 27 20 3b 0d |' Matrix|  ')' ;.|
|000000f0| 5c 65 6e 64 7b 72 61 69 | 6c 7d 0d 0d 5c 76 65 72 |\end{rai|l}..\ver|
|00000100| 62 2b 69 73 73 79 6d 6d | 2b 20 72 65 74 75 72 6e |b+issymm|+ return|
|00000110| 73 20 24 31 24 20 28 74 | 72 75 65 29 20 69 66 20 |s $1$ (t|rue) if |
|00000120| 74 68 65 20 61 72 67 75 | 6d 65 6e 74 20 6d 61 74 |the argu|ment mat|
|00000130| 72 69 78 20 69 73 20 73 | 79 6d 6d 65 74 72 69 63 |rix is s|ymmetric|
|00000140| 2e 0d 4f 74 68 65 72 77 | 69 73 65 20 69 74 20 72 |..Otherw|ise it r|
|00000150| 65 74 75 72 6e 73 20 24 | 30 24 20 28 66 61 6c 73 |eturns $|0$ (fals|
|00000160| 65 29 2e 0d 0d 24 5c 4c | 6f 6e 67 72 69 67 68 74 |e)...$\L|ongright|
|00000170| 61 72 72 6f 77 24 20 54 | 68 69 73 20 69 73 20 6e |arrow$ T|his is n|
|00000180| 6f 74 20 61 6e 20 5c 52 | 4c 61 42 5c 20 62 75 69 |ot an \R|LaB\ bui|
|00000190| 6c 74 2d 69 6e 20 66 75 | 6e 63 74 69 6f 6e 2e 20 |lt-in fu|nction. |
|000001a0| 20 54 68 69 73 20 66 75 | 6e 63 74 69 6f 6e 0d 69 | This fu|nction.i|
|000001b0| 73 20 6e 6f 72 6d 61 6c | 6c 79 20 6c 6f 61 64 65 |s normal|ly loade|
|000001c0| 64 20 6f 6e 20 73 74 61 | 72 74 2d 75 70 20 66 72 |d on sta|rt-up fr|
|000001d0| 6f 6d 20 74 68 65 20 5c | 76 65 72 62 2b 69 73 73 |om the \|verb+iss|
|000001e0| 79 6d 6d 2e 72 2b 20 66 | 69 6c 65 20 69 6e 20 74 |ymm.r+ f|ile in t|
|000001f0| 68 65 0d 73 74 61 6e 64 | 61 72 64 20 5c 76 65 72 |he.stand|ard \ver|
|00000200| 62 2b 72 6c 69 62 2b 20 | 64 69 72 65 63 74 6f 72 |b+rlib+ |director|
|00000210| 79 2e 20 55 73 65 20 6f | 66 20 74 68 65 20 5c 76 |y. Use o|f the \v|
|00000220| 65 72 62 2b 2d 72 2b 20 | 6f 70 74 69 6f 6e 2c 20 |erb+-r+ |option, |
|00000230| 69 6e 63 6f 72 72 65 63 | 74 6c 79 20 0d 73 65 74 |incorrec|tly .set|
|00000240| 74 69 6e 67 20 74 68 65 | 20 5c 76 65 72 62 2b 52 |ting the| \verb+R|
|00000250| 4c 41 42 5f 4c 49 42 5f | 44 49 52 2b 20 65 6e 76 |LAB_LIB_|DIR+ env|
|00000260| 69 72 6f 6e 6d 65 6e 74 | 61 6c 20 76 61 72 69 61 |ironment|al varia|
|00000270| 62 6c 65 2c 20 6f 72 20 | 6d 6f 64 69 66 79 69 6e |ble, or |modifyin|
|00000280| 67 0d 5c 76 65 72 62 2b | 69 73 73 79 6d 6d 2e 72 |g.\verb+|issymm.r|
|00000290| 2b 20 6d 61 79 20 6d 61 | 6b 65 20 74 68 69 73 20 |+ may ma|ke this |
|000002a0| 66 75 6e 63 74 69 6f 6e | 20 75 6e 61 76 61 69 6c |function| unavail|
|000002b0| 61 62 6c 65 2e 0d 0d 0d | 5c 70 61 72 61 67 72 61 |able....|\paragra|
|000002c0| 70 68 7b 45 78 61 6d 70 | 6c 65 7d 0d 5c 69 6e 64 |ph{Examp|le}.\ind|
|000002d0| 65 78 7b 65 78 61 6d 70 | 6c 65 20 6f 66 20 69 73 |ex{examp|le of is|
|000002e0| 73 79 6d 6d 28 29 7d 0d | 5c 69 6e 64 65 78 7b 69 |symm()}.|\index{i|
|000002f0| 73 73 79 6d 6d 28 29 21 | 65 78 61 6d 70 6c 65 7d |ssymm()!|example}|
|00000300| 0d 5c 62 65 67 69 6e 7b | 76 65 72 62 61 74 69 6d |.\begin{|verbatim|
|00000310| 7d 0d 3e 20 69 73 73 79 | 6d 6d 28 5b 30 2c 31 3b |}.> issy|mm([0,1;|
|00000320| 31 2c 30 5d 29 0d 20 20 | 20 20 20 20 20 20 31 0d |1,0]).  |      1.|
|00000330| 3e 20 69 73 73 79 6d 6d | 28 5b 30 2c 31 3b 31 2c |> issymm|([0,1;1,|
|00000340| 31 5d 29 0d 20 20 20 20 | 20 20 20 20 31 0d 3e 20 |1]).    |    1.> |
|00000350| 69 73 73 79 6d 6d 28 5b | 2d 31 33 33 2c 31 3b 31 |issymm([|-133,1;1|
|00000360| 2c 31 5d 29 0d 20 20 20 | 20 20 20 20 20 31 0d 3e |,1]).   |     1.>|
|00000370| 20 69 73 73 79 6d 6d 28 | 5b 2d 31 33 33 2c 31 3b | issymm(|[-133,1;|
|00000380| 31 2c 30 2b 33 34 36 6a | 5d 29 0d 20 20 20 20 20 |1,0+346j|]).     |
|00000390| 20 20 20 31 0d 3e 20 69 | 73 73 79 6d 6d 28 5b 2d |   1.> i|ssymm([-|
|000003a0| 31 33 33 2c 31 3b 30 2c | 30 2b 33 34 36 6a 5d 29 |133,1;0,|0+346j])|
|000003b0| 0d 20 20 20 20 20 20 20 | 20 30 0d 5c 65 6e 64 7b |.       | 0.\end{|
|000003c0| 76 65 72 62 61 74 69 6d | 7d 0d 0d 53 65 65 20 61 |verbatim|}..See a|
|000003d0| 6c 73 6f 3a 20 50 61 67 | 65 7e 5c 70 61 67 65 72 |lso: Pag|e~\pager|
|000003e0| 65 66 7b 66 6e 3a 73 79 | 6d 6d 7d 20 5c 76 65 72 |ef{fn:sy|mm} \ver|
|000003f0| 62 2b 73 79 6d 6d 2b 2e | 0d 0d 5c 6e 65 77 70 61 |b+symm+.|..\newpa|
|00000400| 67 65 0d 0d 0d 0d       |                         |ge....  |        |
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