Wissensdatenbank Wirtschaftsrecht: history "MatheGKL4"

Revision history for MatheGKL4

Revision [62849]

Last edited on 2015-12-10 16:09:14 by Jorina Lossau

Additions:

|| a || b || c || bi || KS || ||
|| 2 || 1 || -2 || -4 ||-3 || ||
||3 || -1 ||2 || 9 ||13 || E*1 ||
|| 1 || 1 ||1 || 4 ||7 || ||
|| 5 || 0 ||0 || 5 ||10 || (II) ||
|| 4 || 0 || 3 || 13 ||20 || (III) ||
||aus (II): 5a = 5
a = 1
aus (III): 4a + 3c = 13
a + 3c = 13
3c = 9
c = 3
aus (I): 2a + b - 2c = -4
2 + b - 6 =-4
b = 0
**L = {(a,b,c) = (1;0;3)}**||

Deletions:

~~{{image url="MatheGK44.jpg" width="650" class="center"}}~~

Revision [62806]

Edited on 2015-12-08 18:30:33 by Jorina Lossau

Additions:

**zu 0.4.2.T**
(I) + (II): 5a = 5 -> a = 1
3* (I) + (III): 10a = 10 wenn a =1 dann 10 = 10 -> w.A.
eine Variable frei wählbar z.B. c Element R
aus (II): 3a - b + 2c = 9
3*1 - b + 2c = 9
-b + 2c = 6
b = 2c - 6
**L = {(a,b,c) = (1;2c-6;c);c Element R}**

Revision [62805]

Edited on 2015-12-08 17:33:23 by Jorina Lossau

Additions:

**0.4.1.T**
**Lösen Sie mit dem Gauß'schen Eliminierungsverfahren (ausführliche Schreibweise)**
3x + 2y + 4z = 9 (I)
-x + y = -5 (II)
2x - 2z = 4 (III)
8x + 6y + 4z = 16 (IV)
**0.4.2.T**
**Lösen Sie mit dem Gauß'schen Eliminierungsverfahren (verkürzte Schreibweise)**
2a + b - 2c = -4 (I)
3a - b + 2c = 9 (II)
4a - 3b + 6c = 22 (III)
**0.4.3.T**
**Lösen Sie mit dem Gauß'schen Verfahren in der Koeffizientenschreibform**
2a + b - 2c = -4 (I)
3a - b + 2c = 9 (II)
a + b + c = 4 (III)
**Lösung:**
**zu 0.4.1.T**
3x + 2y + 4z = 9 (I)
-x + y = -5 (II)
2x - 2z = 4 (III)
8x + 6y + 4z = 16 (IV)
----
-x + y = -5
3* (II) + (I) 5y + 4z = -6 (II)
2* (II) + (III) 2y - 2z =-6 (III)
8* (II) + (IV) 14y + 4z = -24
----
-x + y = -5
2y - 2z = -6
2* (III) + (II) 9y = -18
----
-> y= -2
aus (II): x = y+5 = -2 + 5 -> x =3
aus (III): z = (2x-4)/2 = (6-4)/2 -> z = 1
**L = {3;-2;1}**

Revision [62804]

Edited on 2015-12-08 16:47:15 by Jorina Lossau

Additions:

||
||

Deletions:

{{image url="MatheGK41.jpg" width="650" class="center"}}
{{image url="MatheGK42.jpg" width="650" class="center"}}
{{image url="MatheGK43.jpg" width="650" class="center"}}

Revision [43925]

Edited on 2014-08-28 22:20:02 by Jorina Lossau

Additions:

{{image url="MatheGK41.jpg" width="650" class="center"}}
{{image url="MatheGK42.jpg" width="650" class="center"}}
{{image url="MatheGK43.jpg" width="650" class="center"}}
{{image url="MatheGK44.jpg" width="650" class="center"}}
||**{{files download="MatheGKLK4.pdf"text="PDF Dokument Lösungen Gaußsches Eliminierungsverfahren"}}**||

Deletions:

{{files}}
{{image url="MatheGKL4.jpg" width="650" class="center"}}
||**{{files download="MatheGKL4.pdf"text="PDF Dokument Aufgaben Gaußsches Eliminierungsverfahren"}}**||

Revision [43924]

The oldest known version of this page was created on 2014-08-28 22:13:22 by Jorina Lossau

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