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Diketahui matriks A = ⎝ ⎛ ​ 3 − 2 1 ​ 4 5 2 ​ ⎠ ⎞ ​ , B = ⎝ ⎛ ​ − 1 − 6 7 ​ 2 − 2 3 ​ ⎠ ⎞ ​ , dan C = ( m − 2 n 4 ​ − 20 m + n ​ ) . Jika dimana adalah transpos matriks adalah transpos matriks C. Nilai dari m x n adalah ....

Diketahui matriks  dan
Jika Error converting from MathML to accessible text.dimana Error converting from MathML to accessible text. adalah transpos matriks Error converting from MathML to accessible text.adalah transpos matriks C. Nilai dari m x n
adalah ....

  1. - 32

  2. - 8

  3. - 4

  4. 8

  5. 32

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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begin mathsize 14px style straight A equals open parentheses table row 3 4 row cell negative 2 end cell 5 row 1 2 end table close parentheses comma space straight B equals open parentheses table row cell negative 1 end cell 2 row cell negative 6 end cell cell negative 2 end cell row 7 3 end table close parentheses comma space dan space straight C equals open parentheses table row cell straight m minus 2 straight n end cell cell negative 20 end cell row 4 cell straight m plus straight n end cell end table close parentheses. space end style
A to the power of T X space B space equals space C to the power of T  open parentheses table row 3 cell negative 2 end cell 1 row 4 5 2 end table close parentheses x space open parentheses table row cell negative 1 end cell 2 row cell negative 6 end cell cell negative 2 end cell row 7 3 end table close parentheses equals open parentheses table row cell m minus 2 n end cell 4 row cell negative 20 end cell cell m plus n end cell end table close parentheses  open parentheses table row cell negative 3 plus 12 plus 7 end cell cell 6 plus 4 plus 3 end cell row cell negative 4 minus 30 plus 14 end cell cell 8 minus 10 plus 6 end cell end table close parentheses equals open parentheses table row cell m minus 2 n end cell 4 row cell negative 20 end cell cell m plus n end cell end table close parentheses  open parentheses table row 16 13 row cell negative 20 end cell 4 end table close parentheses equals open parentheses table row cell m minus 2 n end cell 4 row cell negative 20 end cell cell m plus n end cell end table close parentheses

straight m minus 2 straight n space equals space 16  fraction numerator straight m plus straight n space equals space 4 over denominator negative 3 straight n equals 12 end fraction minus  left right double arrow straight n equals negative 4  straight m plus straight n equals 4 left right double arrow straight m minus 4 equals 4 left right double arrow straight m equals 8  space straight m cross times straight n equals 8 straight x minus 4 equals negative 32

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Diketahui matriks P = ( − 2 1 ​ 3 5 ​ ) , Q = ( 4 2 ​ − 6 1 ​ ) , R = ( n 1 ​ − 3 − 5 ​ ) , dan S = ( m 2 n ​ 3 4 ​ ) . Jika PQ = R + S T dimana S T adalah transpos matriks S, maka nilai m adalah ....

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