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Tentukan  dan , jika , b.  dan

Pertanyaan

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

b. straight A equals open square brackets table row 1 cell negative 6 end cell row 8 2 end table close square brackets dan straight B equals open square brackets table row 1 cell 4 p end cell row cell x minus 2 p end cell 2 end table close square brackets

Pembahasan Soal:

Diketahui:
Matriks straight A equals open square brackets table row 1 cell negative 6 end cell row 8 2 end table close square brackets dan straight B equals open square brackets table row 1 cell 4 p end cell row cell x minus 2 p end cell 2 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 1 cell negative 6 end cell row 8 2 end table close square brackets end cell row cell straight A to the power of straight t end cell equals cell open square brackets table row 1 8 row cell negative 6 end cell 2 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 straight A to the power of straight t end cell equals straight B row cell open square brackets table row 1 8 row cell negative 6 end cell 2 end table close square brackets end cell equals cell open square brackets table row 1 cell 4 p end cell row cell x minus 2 p end cell 2 end table close square brackets end cell row 8 equals cell 4 p end cell row p equals cell 8 over 4 end cell row p equals 2 row blank blank blank row cell negative 6 end cell equals cell x minus 2 p end cell row cell negative 6 end cell equals cell x minus 2 left parenthesis 2 right parenthesis end cell row x equals cell negative 6 plus 4 end cell row x equals cell negative 2 end cell end table

Jadi, nilai p adalah 2 dan x adalah negative 2.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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