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Tentukan  dan x, jika . a..dan

Pertanyaan

Tentukan p dan x, jika straight A to the power of straight t equals straight B.

a..straight A equals open square brackets table row 8 1 row 0 cell negative 6 end cell end table close square brackets spacedan straight B equals open square brackets table row cell 2 p end cell 0 row 1 cell p plus x end cell end table close square brackets

Pembahasan Soal:

Diketahui:
Matriks straight A equals open square brackets table row 8 1 row 0 cell negative 6 end cell end table close square brackets spacedan straight B equals open square brackets table row cell 2 p end cell 0 row 1 cell p plus x end cell end table close square brackets
Jika straight A to the power of straight t equals straight B.

Ditanya:
Nilai p dan x ?

Jawab:
Jika straight A to the power of straight t equals straight B, maka ubah matriks A ke transpose matriks terlebih dahuiu.

table attributes columnalign right center left columnspacing 0px end attributes row straight A equals cell open square brackets table row 8 1 row 0 cell negative 6 end cell end table close square brackets space end cell row cell straight A to the power of straight t end cell equals cell open square brackets table row 8 0 row 1 cell negative 6 end cell end table close square brackets end cell end table

Untuk mencari nilai p dan x menggunakan konsep kesamaan matriks A=B.

table attributes columnalign right center left columnspacing 0px end attributes row cell A to the power of t end cell equals B row cell open square brackets table row 8 0 row 1 cell negative 6 end cell end table close square brackets end cell equals cell open square brackets table row cell 2 p end cell 0 row 1 cell p plus x end cell end table close square brackets end cell row 8 equals cell 2 p end cell row p equals cell 8 over 2 end cell row p equals 4 row blank blank blank row cell negative 6 end cell equals cell p plus x end cell row cell negative 6 end cell equals cell 4 plus x end cell row x equals cell negative 6 minus 4 end cell row x equals cell negative 10 end cell end table

Jadi, nilai p adalah 4 dan x adalah negative 10.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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