Jawaban:

Invers Matrik

Ordo 3x3

Penjelasan dengan langkah-langkah:

(0 2 3)

(4 5 6) = F

(0 8 0)

F⁻¹= 1 x (Adj) F

Det F

Det F =

- - -

(0 2 3)(0 2)

(4 5 6)(4 5)

(0 8 0)(0 8)

+ + +

(0.5.0)+(2.6.0)+(3.4.8)-(0.5.3)-(8.6.0)-(0.4.2)

(0)+(0)+(96)-(0)-(0)-(0)

96

Kof(F) = (M₁₁ M₁₂ M₁₃)

(M₂₁ M₂₂ M₂₃)

(M₃₁ M₃₂ M₃₃)

( (5 6) - (4 6) (4 5) )

( (8 0) (0 0) (0 8) )

( -(2 3) (0 3) -(0 2) )

( (8 0) (0 0) (0 8) )

( (2 3) -(0 3) (0 2) )

( (5 6) (4 6) (4 5) )

( (5.0)-(6.8) - (4.0)-(6.0) (4.8)-(5.0) )

(-(2.0)-(3.8) (0.0)-(3.0) - (0.8)-(2.0) )

( (2.6)-(3.5) -(0.6)-(3.4) (0.5)-(2.4) )

( (0)-(48) - (0)-(0) (32)-(0) )

( -((0)-(24) (0)-(0) - ((0)- (0) )

( (12)-(15) -((0)-(12) (0)-(8) )

((-48) 0 (32) )

((24) 0 (0) )

((-3) 12 -8 )

Adj F= Kof(F)ᵗ

((-48) (24) (-3))

((0) (0) (12))

((32) (0) (-8))

F⁻¹=1/Det F x Adj F

F´¹= 1/96 ( -48 24 -3)

( 0 0 12)

( 32 0 -8)

(-48/96 24/96 -3/96)

(0/96 0/96 12/96)

(32/96 0/96 -8/96)

(-1/2 1/4 -1/32)

(0 0 1/8)

(1/3 0 -1/12)

Demikan

Semoga membantu dan bermanfaat!