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Pertanyaan

Jika A equals open parentheses table row 1 0 row 2 3 end table close parentheses dan B equals open parentheses table row 2 7 row 1 4 end table close parentheses maka nilai dari A squared minus 2 A plus B to the power of negative 1 end exponent equals.... 

  1. open parentheses table row 3 7 row 3 5 end table close parentheses 

  2. open parentheses table row cell negative 3 end cell 7 row 3 4 end table close parentheses 

  3. open parentheses table row 3 cell negative 7 end cell row 3 5 end table close parentheses 

  4. open parentheses table row 3 cell negative 7 end cell row 3 4 end table close parentheses 

  5. open parentheses table row cell negative 3 end cell cell negative 7 end cell row 3 4 end table close parentheses 

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Jika A equals open parentheses table row a b row c d end table close parentheses, maka inversnya: A to the power of negative 1 end exponent equals fraction numerator 1 over denominator det open parentheses A close parentheses end fraction open parentheses table row d cell negative b end cell row cell negative c end cell a end table close parentheses comma space det open parentheses A close parentheses not equal to 0.

Diketahui: A equals open parentheses table row 1 0 row 2 3 end table close parentheses dan B equals open parentheses table row 2 7 row 1 4 end table close parentheses

A equals open parentheses table row 1 0 row 2 3 end table close parentheses, maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell A squared end cell equals cell A times A end cell row blank equals cell open parentheses table row 1 0 row 2 3 end table close parentheses open parentheses table row 1 0 row 2 3 end table close parentheses end cell row blank equals cell open parentheses table row cell 1 times 1 plus 0 times 2 end cell cell 1 times 0 plus 0 times 3 end cell row cell 2 times 1 plus 3 times 2 end cell cell 2 times 0 plus 3 times 3 end cell end table close parentheses end cell row blank equals cell open parentheses table row 1 0 row 8 9 end table close parentheses end cell end table  

Jika B equals open parentheses table row 2 7 row 1 4 end table close parentheses, maka inversnya:

table attributes columnalign right center left columnspacing 0px end attributes row cell B to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator 2 times 4 minus 7 times 1 end fraction open parentheses table row 4 cell negative 7 end cell row cell negative 1 end cell 2 end table close parentheses end cell row blank equals cell 1 over 1 open parentheses table row 4 cell negative 7 end cell row cell negative 1 end cell 2 end table close parentheses end cell row blank equals cell open parentheses table row 4 cell negative 7 end cell row cell negative 1 end cell 2 end table close parentheses end cell end table 

Sehingga,

table attributes columnalign right center left columnspacing 0px end attributes row cell A squared minus 2 A plus B to the power of negative 1 end exponent end cell equals cell open parentheses table row 1 0 row 8 9 end table close parentheses minus 2 open parentheses table row 1 0 row 2 3 end table close parentheses plus open parentheses table row 4 cell negative 7 end cell row cell negative 1 end cell 2 end table close parentheses end cell row blank equals cell open parentheses table row 1 0 row 8 9 end table close parentheses minus open parentheses table row 2 0 row 4 6 end table close parentheses plus open parentheses table row 4 cell negative 7 end cell row cell negative 1 end cell 2 end table close parentheses end cell row blank equals cell open parentheses table row cell 1 minus 2 plus 4 end cell cell 0 minus 0 minus 7 end cell row cell 8 minus 4 minus 1 end cell cell 9 minus 6 plus 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row 3 cell negative 7 end cell row 3 5 end table close parentheses end cell end table   

Jadi, jawaban yang tepat adalah C.

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