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Define Name Matriks A A 3 -0.1 -0.2 7.85 3 0.1 7 -0.3 -19.3 0.1 0.3 -0.2 10 71.4 0.3 Invers Matrik B 2 0 2 0.33 0 3 -3 -0.01 -3 -2 1 -0.01 Det A 210.353 A*B (Scalar) A*B (Matrix)

Matriks 3x3

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Page 1: Matriks 3x3

Define Name Matriks AA 3 -0.1 -0.2 7.85 3

0.1 7 -0.3 -19.3 0.10.3 -0.2 10 71.4 0.3

Invers Matriks AB 2 0 2 0.33

0 3 -3 -0.01-3 -2 1 -0.01

Det A 210.353

A*B (Scalar)

A*B (Matrix)

Page 2: Matriks 3x3

Matriks B Perkalian Matriks Manual-0.1 -0.2 2 0 2 6.6

7 -0.3 0 3 -3 1.1-0.2 10 -3 -2 1 -29.4

Invers Matriks A Inverse Matriks B0.00 0.01 -0.25 -0.333333 -0.50.14 0.00 0.75 0.666667 0.50.00 0.10 0.75 0.333333 0.5

Page 3: Matriks 3x3

Perkalian Matriks Manual0.1 6.1

21.6 -21.1-20.6 11.2

Page 4: Matriks 3x3

Gauss-Jordan3.0 -0.1 -0.2 7.90.1 7.0 -0.3 -19.30.3 -0.2 10.0 71.4

3.0 -0.1 -0.2 7.90.0 7.0 -0.3 -19.60.0 -0.2 10.0 70.6

3.0 -0.1 -0.2 7.9 x1 30.0 7.0 -0.3 -19.6 x2 -2.50.0 0.0 10.0 70.1 x3 7

1.000 -0.033 -0.067 2.6170.000 1.000 -0.042 -2.7930.000 0.000 1.000 7.000

1.000 -0.033 0.000 3.0830.000 1.000 0.000 -2.5000.000 0.000 1.000 7.000

1.0 0.0 0.0 3.000 x10.0 1.0 0.0 -2.5 x20.0 0.0 1.0 7.0 x3

Page 5: Matriks 3x3

1 0 0 7.90 1 0 -19.30 0 1 71.4

1 0 0 7.85-0.033 1.000 0.000 -19.562-0.100 0.000 1.000 70.615

1 0 0 7.85-0.033 1.000 0.000 -19.562

-0.1 0.0 1.0 70.1

0.333 0.000 0.000 2.617-0.005 0.143 0.000 -2.793-0.010 0.003 0.100 7.000

0.333 0.000 0.007 3.083-0.005 0.143 0.004 -2.500-0.010 0.003 0.100 7.000

Matriks Inverse0.332 0.005 0.007 3.083 7.9 3

-0.005 0.143 0.004 -2.500 -19.3 -2.5-0.010 0.003 0.100 7.000 71.4 7

Page 6: Matriks 3x3

Crammer

3 -0.1 -0.2 7.850.1 7 -0.3 -19.30.3 -0.2 10 71.4

Determinan

Manual210.353 Excel

7.85 -0.1 -0.2 x1 = 3-19.3 7 -0.371.4 -0.2 10

631.059

3 7.85 -0.2 x2 = -2.50.1 -19.3 -0.30.3 71.4 10

-525.883

3 -0.1 7.85 x3 = 70.1 7 -19.30.3 -0.2 71.4

1472.47

Page 7: Matriks 3x3

Inverse

Page 8: Matriks 3x3

x1 x2 x3 C x13 -0.1 -0.2 7.85 1 2.616667

0.1 7 -0.3 -19.3 2 2.6166670.3 -0.2 10 71.4 3 2.616667

4 2.9905575 2.9905576 2.9905577 3.0000328 3.0000329 3.000032

10 311 312 313 314 315 316 317 318 319 320 3

Page 9: Matriks 3x3

x2 x30 0

-2.794524 0-2.794524 7.00561-2.794524 7.00561-2.499625 7.00561-2.499625 7.000291-2.499625 7.000291-2.499988 7.000291-2.499988 6.999999-2.499988 6.999999

-2.5 6.999999-2.5 7-2.5 7-2.5 7-2.5 7-2.5 7-2.5 7-2.5 7-2.5 7-2.5 7