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Pertanyaan

Diketahui matriks berikut ini: A = [ 2 3 ​ 6 8 ​ ] ; B = [ 1 1 ​ 3 4 ​ ] Tentukan: c. A B d. ( A B ) − 1

Diketahui matriks berikut ini:

 

Tentukan:

c.     

d.   

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F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

 Error converting from MathML to accessible text. 

Pembahasan

c. Menentukan Jadi, . d. Menentukan Jadi,

c.   Menentukan A B

table attributes columnalign right center left columnspacing 0px end attributes row cell A B end cell equals cell open square brackets table row 2 6 row 3 8 end table close square brackets times open square brackets table row 1 3 row 1 4 end table close square brackets end cell row blank equals cell open square brackets table row cell 2 times 1 plus 6 times 1 end cell cell space space 2 times 3 plus 6 times 4 end cell row cell 3 times 1 plus 8 times 1 end cell cell space space 3 times 3 plus 8 times 4 end cell end table close square brackets end cell row blank equals cell open square brackets table row 8 30 row 11 41 end table close square brackets end cell end table 

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank B end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets table row 8 30 row 11 41 end table close square brackets end cell end table.

d.   Menentukan open parentheses A B close parentheses to the power of negative 1 end exponent

table attributes columnalign right center left columnspacing 0px end attributes row cell A B end cell equals cell open square brackets table row 8 30 row 11 41 end table close square brackets end cell row cell A B to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator det space A B end fraction cross times Adj space open parentheses A B close parentheses end cell row blank equals cell fraction numerator 1 over denominator 8 times 41 minus 30 times 11 end fraction open square brackets table row 41 cell negative 30 end cell row cell negative 11 end cell 8 end table close square brackets end cell row blank equals cell fraction numerator 1 over denominator 328 minus 330 end fraction open square brackets table row 41 cell negative 30 end cell row cell negative 11 end cell 8 end table close square brackets end cell row blank equals cell fraction numerator 1 over denominator negative 2 end fraction open square brackets table row 41 cell negative 30 end cell row cell negative 11 end cell 8 end table close square brackets end cell row blank equals cell open square brackets table row cell negative 41 over 2 end cell 15 row cell 11 over 2 end cell cell negative 4 end cell end table close square brackets end cell end table 

Jadi, Error converting from MathML to accessible text. 

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