Smart Solution
Inverse Matrix 3 x 3
(in a smart way)
Musical
English Subtitle
Inverse Matrix 3 x 3
“
Leonardo Sembiring
leonardo.sembiring@gmail.com
Using rule of Sarrus
for determinant of A
A =
|A|
A-1 =
1
Adj (A)
Adjoint matrix using addition-deduction
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
+
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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