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Page 1: Aemaths

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Garcia,Joshua Kenneth Ross S.   F 1:00-4:00  

Sol"ing # $n%no&n and # E'uations $sing Gauss-Jordan (e

Enter )oe*cients

a c d e

1 4 # + # 4

1 1 / 4 #

# 1

1 # # 1

alue

a : /1./

: 4.4

c : 4.44

d : -11.4

e : -0.

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Engr.Wendhel Lua!

  thod

)onstant

+

4

#

/

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Matrix

1 4 # + :

# 4 :

1 1 / 4 # :

# 1 :

1 # # 1 :

Gauss-Jordan Method

(atri2 1

1 4 # +

# 4

1 1 / 4 #

# 1

1 # # 1

(atri2

1 4 # +

0 -/ - -4 0

1 1 / 4 #

# 1

1 # # 1

(atri2 /

1 4 # +

0 -/ - -4 0

0 -/ - - /

# 1

1 # # 1

(atri2 4

1 4 # +

0 -/ - -4 0

0 -/ - - /

0 -/ -3 -4 -

1 # # 1

(atri2 #

1 4 # +

0 -/ - -4 0

0 -/ - - /

0 -/ -3 -4 -

0 - 0 -1 -1

(atri2 +

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1 4 # +

0 1 .+++++ 1.////// 0

0 -/ - - /

0 -/ -3 -4 -

0 - 0 -1 -1

(atri2 1 4 # +

0 1 .+++++ 1.////// 0

0 0 + /

0 -/ -3 -4 -

0 - 0 -1 -1

(atri2

1 4 # +

0 1 .+++++ 1.////// 0

0 0 + /

0 0 -1 0 -0 - 0 -1 -1

(atri2 3

1 4 # +

0 1 .+++++ 1.////// 0

0 0 + /

0 0 -1 0 -

0 0 #.////// 1.+++++ -1

(atri2 10

1 4 # +

0 1 .+++++ 1.////// 0

0 0 1 0.////// 0.#

0 0 -1 0 -

0 0 #.////// 1.+++++ -1

(atri2 11

1 4 # +

0 1 .+++++ 1.////// 0

0 0 1 0.////// 0.#

0 0 0 0.////// -1.#0 0 #.////// 1.+++++ -1

(atri2 1

1 4 # +

0 1 .+++++ 1.////// 0

0 0 1 0.////// 0.#

0 0 0 0.////// -1.#

0 0 0 -0.111111 -/.+++++

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(atri2 1/

1 4 # +

0 1 .+++++ 1.////// 0

0 0 1 0.////// 0.#

0 0 0 1 -4.#

0 0 0 -0.111111 -/.+++++

(atri2 14

1 4 # +

0 1 .+++++ 1.////// 0

0 0 1 0.////// 0.#

0 0 0 1 -4.#

0 0 0 0 -4.1++++

(atri2 1#

1 4 # +

0 1 .+++++ 1.////// 00 0 1 0.////// 0.#

0 0 0 1 -4.#

0 0 0 0 1

(atri2 1+

1 4 # +

0 1 .+++++ 1.////// 0

0 0 1 0.////// 0.#

0 0 0 1 0

0 0 0 0 1

(atri2 1

1 4 # +

0 1 .+++++ 1.////// 0

0 0 1 0.////// 0

0 0 0 1 0

0 0 0 0 1

(atri2 1

1 4 # +

0 1 .+++++ 1.////// 00 0 1 0.////// 0

0 0 0 1 0

0 0 0 0 1

(atri2 13

1 4 # + 0

0 1 .+++++ 1.////// 0

0 0 1 0.////// 0

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0 0 0 1 0

0 0 0 0 1

(atri2 0

1 4 # + 0

0 1 .+++++ 1.////// 0

0 0 1 0 00 0 0 1 0

0 0 0 0 1

(atri2 1

1 4 # + 0

0 1 .+++++ 0 0

0 0 1 0 0

0 0 0 1 0

0 0 0 0 1

(atri2 1 4 # 0 0

0 1 .+++++ 0 0

0 0 1 0 0

0 0 0 1 0

0 0 0 0 1

(atri2 /

1 4 # 0 0

0 1 0 0 0

0 0 1 0 0

0 0 0 1 0

0 0 0 0 1

(atri2 4

1 4 0 0 0

0 1 0 0 0

0 0 1 0 0

0 0 0 1 0

0 0 0 0 1

(atri2 #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

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+

4

#

/

+

4

#

/

+

-4

4

#

/

+

-4

-

#

/

+

-4

-

-

/

+

-4

-

-

-/

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+

1.//////

-

-

/

+

1.//////

-

/

+

1.//////

-//

+

1.//////

-/

#.+++++

+

1.//////

0.//////

-/

#.+++++

+

1.//////

0.//////

-.+++++#.+++++

+

1.//////

0.//////

-.+++++

/.3

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+

1.//////

0.//////

-

/.3

+

1.//////

0.//////

-

/

+

1.//////0.//////

-

-0.

+

1.//////

0.//////

-11.4

-0.

+

1.//////

0.+3////

-11.4

-0.

+

1.//////0.+3////

-11.4

-0.

4

1.//////

0.+3////

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-11.4

-0.

4

1.//////

4.44-11.4

-0.

4

1+./

4.44

-11.4

-0.

1.44

1+./

4.44

-11.4

-0.

1.44

4.4

4.44

-11.4

-0.

43.4

4.4

4.44

-11.4

-0.

/1./

4.4

4.44

-11.4

-0.