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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,74 @@ | ||
| gap> START_TEST("IdentityMatrix.tst"); | ||
|
|
||
| # | ||
| gap> m:=IdentityMatrix( GF(2), 5 ); Display(m); | ||
| <a 5x5 matrix over GF2> | ||
| 1 . . . . | ||
| . 1 . . . | ||
| . . 1 . . | ||
| . . . 1 . | ||
| . . . . 1 | ||
| gap> m:=IdentityMatrix( GF(3), 5 ); Display(m); | ||
| [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], | ||
| [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], | ||
| [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], | ||
| [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], | ||
| [ 0*Z(3), 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] ] | ||
| 1 . . . . | ||
| . 1 . . . | ||
| . . 1 . . | ||
| . . . 1 . | ||
| . . . . 1 | ||
| gap> m:=IdentityMatrix( GF(4), 5 ); Display(m); | ||
| [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], | ||
| [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], | ||
| [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], | ||
| [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], | ||
| [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ] | ||
| 1 . . . . | ||
| . 1 . . . | ||
| . . 1 . . | ||
| . . . 1 . | ||
| . . . . 1 | ||
| gap> m:=IdentityMatrix( Integers, 5 ); Display(m); | ||
| <5x5-matrix over Integers> | ||
| <5x5-matrix over Integers: | ||
| [[ 1, 0, 0, 0, 0 ] | ||
| [ 0, 1, 0, 0, 0 ] | ||
| [ 0, 0, 1, 0, 0 ] | ||
| [ 0, 0, 0, 1, 0 ] | ||
| [ 0, 0, 0, 0, 1 ] | ||
| ]> | ||
| gap> m:=IdentityMatrix( Integers mod 4, 5 ); Display(m); | ||
| <5x5-matrix over (Integers mod 4)> | ||
| <5x5-matrix over (Integers mod 4): | ||
| [[ ZmodnZObj( 1, 4 ), ZmodnZObj( 0, 4 ), ZmodnZObj( 0, 4 ), ZmodnZObj( 0, 4 ), | ||
| ZmodnZObj( 0, 4 ) ] | ||
| [ ZmodnZObj( 0, 4 ), ZmodnZObj( 1, 4 ), ZmodnZObj( 0, 4 ), ZmodnZObj( 0, 4 ), | ||
| ZmodnZObj( 0, 4 ) ] | ||
| [ ZmodnZObj( 0, 4 ), ZmodnZObj( 0, 4 ), ZmodnZObj( 1, 4 ), ZmodnZObj( 0, 4 ), | ||
| ZmodnZObj( 0, 4 ) ] | ||
| [ ZmodnZObj( 0, 4 ), ZmodnZObj( 0, 4 ), ZmodnZObj( 0, 4 ), ZmodnZObj( 1, 4 ), | ||
| ZmodnZObj( 0, 4 ) ] | ||
| [ ZmodnZObj( 0, 4 ), ZmodnZObj( 0, 4 ), ZmodnZObj( 0, 4 ), ZmodnZObj( 0, 4 ), | ||
| ZmodnZObj( 1, 4 ) ] | ||
| ]> | ||
|
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||
| # | ||
| gap> m:=IdentityMatrix( Integers, 0 ); Display(m); | ||
| <0x0-matrix over Integers> | ||
| <0x0-matrix over Integers: | ||
| ]> | ||
|
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||
| # some error checking | ||
| gap> m:=IdentityMatrix( GF(2), -1 ); | ||
| Error, <n> must be a non-negative integer (not a integer) | ||
| gap> m:=IdentityMatrix( GF(3), -1 ); | ||
| Error, <n> must be a non-negative integer (not a integer) | ||
| gap> m:=IdentityMatrix( GF(4), -1 ); | ||
| Error, <n> must be a non-negative integer (not a integer) | ||
| gap> m:=IdentityMatrix( Integers mod 4, -1 ); | ||
| Error, <n> must be a non-negative integer (not a integer) | ||
|
|
||
| # | ||
| gap> STOP_TEST("IdentityMatrix.tst"); |
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,43 @@ | ||
| gap> START_TEST("Matrix.tst"); | ||
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| # | ||
| gap> m := Matrix( [[1,2],[3,4]] ); | ||
| <2x2-matrix over Rationals> | ||
| gap> Display(m); | ||
| <2x2-matrix over Rationals: | ||
| [[ 1, 2 ] | ||
| [ 3, 4 ] | ||
| ]> | ||
|
|
||
| # | ||
| gap> m := Matrix( [[1,2],[3,4]] * Z(2) ); | ||
| <a 2x2 matrix over GF2> | ||
| gap> Display(m); | ||
| 1 . | ||
| 1 . | ||
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| # | ||
| gap> m := Matrix( IsGF2MatrixRep, GF(2), [[1,2],[3,4]] * Z(2) ); | ||
| <a 2x2 matrix over GF2> | ||
| gap> Display(m); | ||
| 1 . | ||
| 1 . | ||
|
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| # | ||
| gap> m := Matrix( Is8BitMatrixRep, GF(4), [[1,2],[3,4]] * Z(2) ); | ||
| [ [ Z(2)^0, 0*Z(2) ], [ Z(2)^0, 0*Z(2) ] ] | ||
| gap> Display(m); | ||
| 1 . | ||
| 1 . | ||
|
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| # | ||
| gap> m := Matrix( IsPlistMatrixRep, GF(2), [[1,2],[3,4]] * Z(2) ); | ||
| <2x2-matrix over GF(2)> | ||
| gap> Display(m); | ||
| <2x2-matrix over GF(2): | ||
| [[ Z(2)^0, 0*Z(2) ] | ||
| [ Z(2)^0, 0*Z(2) ] | ||
| ]> | ||
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| # | ||
| gap> STOP_TEST("Matrix.tst"); |