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Jawaban:

Matriks

Penjelasan dengan langkah-langkah:

(2 1) .X = (5 0)

(-1 1). (2 -6)

X = A⁻¹.B

= 1/(ad-bc) (d -b) . B

(-c a)

= 1/(2.1 – (1.-1) (1 -1) (5 0)

(1 2) (2 -6)

= 1/(2-(-1) (1 -1) (5 0)

(1 2) (2 -6)

= 1/(2+1) (1 -1) (5 0)

(1 2) (2 -6)

= 1/(3) (1 -1) (5 0)

(1 2) (2 -6)

= (1/3 -1/3) (5 0)

(1/3 2/3) (2 -6)

= (1/3×5 -1/3×2 1/3×0 -1/3x-6)

(1/3×5 2/3×2 1/3×0 2/3x-6)

= (5/3 -2/3 0 + 2)

(5/3 +4/3 0 – 4)

= (3/3 2)

(9/3 -4)

= (1 2)

(3 –4)

Pembuktian:

(2 1) ( 1 2 )

(-1 1) (3 -4)

( 2×1 1×3. 2×2 1x-4)

( -1×1 1×3. -1×2 1x-4)

(2 + 3. 4 +(-4)

(-1 + 3. -2 + (-4)

( 5 0) => ( sama )

( 2 -6)

Detail Jawaban:

Mapel : Matematika

Kelas : 11 / XI SMA

Materi : Matriks

Kode Kategorisasi : –

Kata Kunci : Matriks

Demikian

Semoga membantu dan bermanfaat!