Pertanyaan

Diketahui matriks A = ⎝ ⎛ 4 2 − 3 2 1 − 5 7 − 2 6 ⎠ ⎞ maka 21 A − 1 adalah ....

Diketahui matriks $A = ⎝ ⎛ 42 - 3 21 - 5 7 - 2 6 ⎠ ⎞$ maka $21 A^{- 1}$ adalah $....$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A

Pembahasan

Diketahui matriks . Dengan cara Sarrus, maka: Jadi, jawaban yang tepat adalah A

Diketahui matriks A equals open parentheses table row 4 2 7 row 2 1 cell negative 2 end cell row cell negative 3 end cell cell negative 5 end cell 6 end table close parentheses . Dengan cara Sarrus, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar A close vertical bar end cell equals cell open vertical bar table row 4 2 7 row 2 1 cell negative 2 end cell row cell negative 3 end cell cell negative 5 end cell 6 end table close vertical bar table row 4 row 2 row cell negative 3 end cell end table table row 2 row 1 row cell negative 5 end cell end table end cell row blank equals cell left parenthesis 24 plus 12 plus left parenthesis negative 70 right parenthesis right parenthesis minus left parenthesis negative 21 plus 40 plus 24 right parenthesis end cell row blank equals cell negative 34 minus 43 end cell row blank equals cell negative 77 end cell row blank blank blank row cell adj space A end cell equals cell open parentheses table row 308 cell negative 1771 end cell cell negative 231 end cell row 462 cell negative 231 end cell 462 row 539 cell negative 1078 end cell 0 end table close parentheses end cell row blank blank blank row cell A to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator open vertical bar A close vertical bar end fraction cross times Adj space A end cell row blank equals cell fraction numerator 1 over denominator negative 77 end fraction cross times open parentheses table row cell bevelled 308 over 21 end cell cell bevelled fraction numerator negative 1771 over denominator 21 end fraction end cell cell bevelled fraction numerator negative 231 over denominator 21 end fraction end cell row cell bevelled 154 over 7 end cell cell bevelled fraction numerator negative 77 over denominator 7 end fraction end cell cell bevelled 462 over 21 end cell row cell bevelled fraction numerator negative 77 over denominator 3 end fraction end cell cell bevelled fraction numerator negative 154 over denominator 3 end fraction end cell 0 end table close parentheses end cell row blank equals cell open parentheses table row cell bevelled fraction numerator negative 4 over denominator 21 end fraction end cell cell bevelled 23 over 21 end cell cell bevelled 3 over 21 end cell row cell bevelled fraction numerator negative 2 over denominator 7 end fraction end cell cell bevelled 1 over 7 end cell cell bevelled fraction numerator negative 6 over denominator 21 end fraction end cell row cell bevelled fraction numerator negative 1 over denominator 3 end fraction end cell cell bevelled 2 over 3 end cell 0 end table close parentheses end cell row blank blank blank row cell 21 A to the power of negative 1 end exponent end cell equals cell 21 cross times open parentheses table row cell bevelled fraction numerator negative 4 over denominator 21 end fraction end cell cell bevelled 23 over 21 end cell cell bevelled 3 over 21 end cell row cell bevelled fraction numerator negative 2 over denominator 7 end fraction end cell cell bevelled 1 over 7 end cell cell bevelled fraction numerator negative 6 over denominator 21 end fraction end cell row cell bevelled fraction numerator negative 1 over denominator 3 end fraction end cell cell bevelled 2 over 3 end cell 0 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 4 end cell 23 3 row cell negative 6 end cell 3 cell negative 6 end cell row cell negative 7 end cell 14 0 end table close parentheses end cell end table$

Jadi, jawaban yang tepat adalah A

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

0.0 (0 rating)

Pertanyaan serupa

Jika A = ( x x + 1 x − 2 x − 1 ) maka A − 1 = ...

5.0

Jawaban terverifikasi

Matriks-matriks A , B , dan X berordo 2 × 2 dengan dan masing-masing mempunyai invers matriks A − 1 dan B − 1 . Tentukan bentuk sederhana untuk matriks , jika: ( A + BX A ) ⋅ B = B A B

0.0

Jawaban terverifikasi

Diberikan matriks A = ( 1 1 − 2 4 ) dan P = ( 1 − 1 2 1 ) . Tentukan: X = P − 1 ⋅ A ⋅ P

5.0

Jawaban terverifikasi

Matriks A dan B berordo n × n dan matriks C , D , dan X merupakan matriks kolom berordo n × 1 . Jika semua invers matriks dan ada (terdefinisi), selesaikan masing-masing persamaan matriks berikut. ...

5.0

Jawaban terverifikasi

Diberikan matriks A = ( 1 2 2 3 ) . Tentukan A + k A − 1 .

0.0

Jawaban terverifikasi