Pertanyaan

Diketahui matriks A = ( 3 2 0 0 ) , B = ( 2 3 1 2 ) dan A + B = C. Invers matriks C adalah ....

Diketahui matriks $A = (3200), B = (2312)$ dan A + B = C. Invers matriks C adalah ....

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

Maka,

A plus B equals C rightwards double arrow C equals open parentheses table row 3 0 row 2 0 end table close parentheses plus open parentheses table row 2 1 row 3 2 end table close parentheses space space space space space space space space equals open parentheses table row 5 1 row 5 2 end table close parentheses

Maka,

$C to the power of negative 1 end exponent equals fraction numerator 1 over denominator 5 space. space 2 minus 5 space. space 1 end fraction open parentheses table row 2 cell negative 1 end cell row cell negative 5 end cell 5 end table close parentheses C to the power of negative 1 end exponent equals 1 fifth open parentheses table row 2 cell negative 1 end cell row cell negative 5 end cell 5 end table close parentheses C to the power of negative 1 end exponent equals open parentheses table row cell 2 over 5 end cell cell negative 1 fifth end cell row cell negative 1 end cell 1 end table close parentheses$