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Diberikanmatriks Jika C 11 ​ − C 22 ​ + C 33 ​ = 0 maka nilai a adalah ....

Diberikan matriks begin mathsize 14px style A equals open parentheses table row 1 0 a row 0 cell negative 2 end cell b row 1 0 c end table close parentheses end style Jika  maka nilai  adalah ....

  1. begin mathsize 14px style c end style

  2. begin mathsize 14px style negative 2 end style

  3. size 14px 2 size 14px plus size 14px 3 size 14px c

  4. begin mathsize 14px style 2 plus b end style

  5. begin mathsize 14px style 2 plus b minus c end style

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jawabannya adalah C.

jawabannya adalah C.

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Kita cari masing-masing nilai Diketahui . Maka Jadi, jawabannya adalah C.

Kita cari masing-masing nilai begin mathsize 14px style C subscript 11 comma C subscript 22 comma C subscript 33 end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell M subscript 11 end cell equals cell open vertical bar table row cell negative 2 end cell b row 0 c end table close vertical bar equals left parenthesis negative 2 right parenthesis times c minus b times 0 equals negative 2 c minus 0 equals negative 2 c end cell row cell C subscript 11 end cell equals cell left parenthesis negative 1 right parenthesis to the power of 1 plus 1 end exponent times M subscript 11 end subscript equals left parenthesis negative 1 right parenthesis squared times left parenthesis negative 2 c right parenthesis equals 1 times left parenthesis negative 2 c right parenthesis equals negative 2 c end cell row cell M subscript 22 end cell equals cell open vertical bar table row 1 a row 1 c end table close vertical bar equals 1 times c minus a times 1 equals c minus a end cell row cell C subscript 22 end cell equals cell left parenthesis negative 1 right parenthesis to the power of 2 plus 2 end exponent times M subscript 22 end subscript equals left parenthesis negative 1 right parenthesis to the power of 4 times left parenthesis c minus a right parenthesis equals 1 times left parenthesis c minus a right parenthesis equals c minus a end cell row cell M subscript 33 end cell equals cell open vertical bar table row 1 0 row 0 cell negative 2 end cell end table close vertical bar equals 1 times left parenthesis negative 2 right parenthesis minus 0 times 0 equals negative 2 minus 0 equals negative 2 end cell row cell C subscript 33 end cell equals cell left parenthesis negative 1 right parenthesis to the power of 3 plus 3 end exponent times M subscript 33 end subscript equals left parenthesis negative 1 right parenthesis to the power of 6 times open parentheses negative 2 close parentheses equals 1 times open parentheses negative 2 close parentheses equals negative 2 end cell end table end style

Diketahui Error converting from MathML to accessible text.. Maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell C blank subscript 11 minus C blank subscript 22 plus C blank subscript 33 end cell equals 0 row cell negative 2 c minus left parenthesis c minus a right parenthesis plus left parenthesis negative 2 right parenthesis end cell equals 0 row cell negative 2 c plus a minus c minus 2 end cell equals 0 row cell a minus 3 c end cell equals 2 row a equals cell 2 plus 3 c end cell end table end style 

Jadi, jawabannya adalah C.

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