Program Created by: Chester Allan G. ClaveroProgram Created by: Chester Allan G. Clavero

Tuesday, September 29, 20153x3 Matrix

= A1/D -13.3333 Ans.= A2/D 11.6667 Ans.= A3/D -3.33333 Ans.

INPUTC

3 4 5 -102 6 7 201 3 5 5

LINEAR EQUATIONEquation 1 3 + 4 + 5 =Equation 2 2 + 6 + 7 =Equation 3 1 + 3 + 5 =

SOLVING FOR THE DETERMINANT OF THE EQUATION

3 4 5 D= 30 + 28 + 90D= 2 6 7 D= 15 Ans.

1 3 5

SOLVING FOR VALUE OF X₁

-10 4 5 D= 300 + 140 + -300D= 20 6 7 D= -200 Ans.

5 3 5

SOLVING FOR VALUE OF X2

3 -10 5 D= 50 + -70 + 300D= 2 20 7 D= 175 Ans.

1 5 5

SOLVING FOR VALUE OF X3

3 4 -10 D= -60 + 80 + 90D= 2 6 20 D= -50 Ans.

1 3 5

X₁X₂X₃

X₁ X₂ X₃

X₁ X₂ X₃X₁ X₂ X₃X₁ X₂ X₃

-10205

- 63 - 40 - 30

- -210 - 400 - 150

- 105 - -100 - 100

- 180 - 40 - -60

Program Created by: Chester Allan G. ClaveroCENGR 515 Lab B 9:30-12:00Tuesday, September 29, 20154x4 Matrix

= A1/D 3.44961 Ans.= A2/D 3.88566 Ans.= A3/D -4.34109 Ans.= A4/D -0.69767 Ans.

INPUTC

3 4 5 3 -102 6 7 4 205 4 1 2 151 3 5 6 5

LINEAR EQUATIONEquation 1 3 + 4 + 5 +Equation 2 2 + 6 + 7 +Equation 3 5 + 4 + 1 +Equation 4 1 + 3 + 5 +

SOLVING FOR THE DETERMINANT OF THE EQUATION

3 4 5 3 D= 108 + 56 +D= 2 6 7 4 D= -516 Ans.

5 4 1 21 3 5 6

SOLVING FOR VALUE OF X₁

-10 4 5 3 D= -360 + 280 +D= 20 6 7 4 D= -1780 Ans.

15 4 1 25 3 5 6

SOLVING FOR VALUE OF X2

3 -10 5 3 D= 360 + -140 +D= 2 20 7 4 D= -2005 Ans.

5 15 1 21 5 5 6

SOLVING FOR VALUE OF X3

3 4 -10 3 D= 1620 + 160 +2 6 20 4 D= 2240 Ans.

X₁X₂X₃x₄

X₁ X₂ X₃ x₄

X₁ X₂ X₃X₁ X₂ X₃X₁ X₂ X₃X₁ X₂ X₃

D= 5 4 15 21 3 5 6

SOLVING FOR VALUE OF X4

3 4 5 -10 D= 90 + 420 +2 6 7 20 D= 360 Ans.

D= 5 4 1 151 3 5 5

3 = -104 = 202 = 156 = 5

300 + 120 - 84 - 900 - 80 - 36

900 + 1200 - 420 - 2700 - 800 - -120

500 + 450 - 315 - 3000 - -200 - 60

-600 + 120 - 240 - -1800 - 80 - 540

x₄x₄x₄x₄

1500 + -400 - -280 - 750 - 600 - 180

Program Created by: Chester Allan G. ClaveroCENGR 515 Lab B 9:30-12:00Tuesday, September 29, 20155x5 Matrix

= A1/D 10.9146 Ans.= A2/D -1.76829 Ans.= A3/D 20.6402 Ans.= A4/D -4.60366 Ans.= A5/D -7.66768 Ans.

INPUTC

3 4 5 3 7 -102 6 7 4 8 205 4 1 2 4 151 3 5 6 2 55 1 4 7 6 25

LINEAR EQUATIONEquation 1 3 + 4 + 5 +Equation 2 2 + 6 + 7 +Equation 3 5 + 4 + 1 +Equation 4 1 + 3 + 5 +Equation 5 5 + 1 + 4 +

SOLVING FOR THE DETERMINANT OF THE EQUATION

3 4 5 3 7 D= 648 + 560D= 2 6 7 4 8 D= 656 Ans.

5 4 1 2 41 3 5 6 25 1 4 7 6

SOLVING FOR VALUE OF X₁

-10 4 5 3 7 D= -2160 + 2800D= 20 6 7 4 8 D= 7160 Ans.

15 4 1 2 45 3 5 6 2

25 1 4 7 6

SOLVING FOR VALUE OF X2

3 -10 5 3 7 D= 2160 + -1400D= 2 20 7 4 8 D= -1160 Ans.

5 15 1 2 41 5 5 6 2

X₁X₂X₃X₄X₅

X₁ X₂ X₃ X₄ X₅

X₁ X₂ X₃X₁ X₂ X₃X₁ X₂ X₃X₁ X₂ X₃X₁ X₂ X₃

5 25 4 7 6

SOLVING FOR VALUE OF X3

3 4 -10 3 7 D= 9720 + 16002 6 20 4 8 D= 13540 Ans.

D= 5 4 15 2 41 3 5 6 25 1 25 7 6

SOLVING FOR VALUE OF X4

3 4 5 -10 7 D= 540 + 42002 6 7 20 8 D= -3020 Ans.

D= 5 4 1 15 41 3 5 5 25 1 4 25 6

SOLVING FOR VALUE OF X5

3 4 5 3 -10 D= 2700 + 14002 6 7 4 20 D= -5030 Ans.

D= 5 4 1 2 151 3 5 6 55 1 4 7 25

3 + 7 = -104 + 8 = 202 + 4 = 156 + 2 = 57 + 6 = 25

+ 80 + 1440 + 1960 - 420 - 504 -

+ 400 + 4320 + 19600 - 2100 - 2520 -

+ 2000 + 2400 + 7350 - 700 - 1890 -

X₄ X₅X₄ X₅X₄ X₅X₄ X₅X₄ X₅

+ -160 + 9000 + 1960 - 6300 - 1440 -

+ 400 + -4800 + 7000 - 2100 - -1680 -

+ 300 + 3600 + -2800 - -600 - 2100 -

2100 - 768 - 240

6300 - 7680 - -800

7000 - -1920 - 6000

-4200 - 4800 - 240

7500 - 640 - 1800

5250 - 2880 - 600