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Smart Solution

Inverse Matrix 3 x 3

(in a smart way)

Musical

English Subtitle

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Inverse Matrix 3 x 3

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Leonardo Sembiring

leonardo.sembiring@gmail.com

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Using rule of Sarrus

for determinant of A

A =

|A|

A-1 =

1

Adj (A)

Adjoint matrix using addition-deduction

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3.1.1

2.0.(-2)

(-1).1.(-2)

(-2).1.(-1)

(-2).0.3

1.1.2

Rule of Sarrus

Determinant of A

A =

+

+

+

|A| =

+

+

+

|A|

=

3

+

0

+

2

2

0

2

=

1

+

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Matrix adjoint of A

A =

Adj (A)

1,1

2,1

1,2

2,2

1

0

-1

1

Adj A=

1,3

2,3

1

-1

3,1

3,2

0

2

3,3

1

Adj (A) =

|A|

A-1 =

1

Adj (A) =

1

1

+

A-1 =

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Coming soon...smart solution

The roots of the equation :

x2 - x + 1 = 0 are x1 and x2

Find the value : x17 + x27

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