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Jika A adalah matriks berukuran 2 x 2 dan , maka matriks A yang tepat adalah ....

Jika A adalah matriks berukuran 2 x 2 dan begin mathsize 14px style open square brackets x space space 1 close square brackets space A open square brackets table row x row 1 end table close square brackets equals x squared minus 5 x plus 8 end style, maka matriks A yang tepat adalah ....

  1. begin mathsize 14px style open square brackets table row 1 cell negative 5 end cell row 8 cell space space 0 end cell end table close square brackets end style

  2. begin mathsize 14px style open square brackets table row 1 5 row 8 0 end table close square brackets end style

  3. begin mathsize 14px style open square brackets table row 1 8 row cell negative 5 end cell 0 end table close square brackets end style

  4. begin mathsize 14px style open square brackets table row 1 3 row cell negative 8 end cell 8 end table close square brackets end style

  5. begin mathsize 14px style open square brackets table row 1 cell negative 3 end cell row 8 cell space space 8 end cell end table close square brackets end style

Jawaban:

begin mathsize 14px style Dimisalkan space matriks space straight A equals open parentheses table row straight a straight b row straight c straight d end table close parentheses open parentheses table row straight x 1 end table close parentheses straight A open parentheses straight x over 1 close parentheses equals straight x squared minus 5 straight x plus 8 open parentheses table row straight x 1 end table close parentheses open parentheses table row straight a straight b row straight c straight d end table close parentheses open parentheses straight x over 1 close parentheses equals straight x squared minus 5 straight x plus 8 open parentheses table row cell ax plus straight c end cell cell bx plus straight d end cell end table close parentheses open parentheses straight x over 1 close parentheses equals straight x squared minus 5 straight x plus 8 ax squared plus cx plus bx plus straight d equals straight x squared minus 5 straight x plus 8 ax squared plus open parentheses straight b plus straight c close parentheses straight x plus straight d equals straight x squared minus 5 straight x plus 8 Dapat space disimpulkan colon straight a equals 1 straight b plus straight c equals negative 5 straight d equals 8 Dari space pilihan space jawaban comma space matriks space yang space sesuai space adalah open parentheses table row 1 3 row cell negative 8 end cell 8 end table close parentheses end style

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