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7/25/2019 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.