Pertanyaan

Diketahui matriks A= ( − 2 3 1 − 1 ) ., dan B= ( 5 13 4 10 ) . Jika matriks C= A+B, Invers matriks C adalah ...

Diketahui matriks A= $(- 23 1 - 1)$ ., dan B= $(513410)$ . Jika matriks C= A+B, Invers matriks C adalah ...

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$J i k a space C equals open parentheses table row cell a space space space b end cell row cell c space space space space d end cell end table close parentheses comma space m a k a C to the power of negative 1 end exponent equals fraction numerator 1 over denominator open vertical bar C close vertical bar end fraction space A d j space left parenthesis C right parenthesis A d j left parenthesis C right parenthesis equals space open parentheses table row cell d space space space space minus b end cell row cell negative c space space space space space space a end cell end table close parentheses open vertical bar C close vertical bar equals space d e t left parenthesis C right parenthesis equals space a d minus b c M a k a C equals space A plus space B C equals open parentheses table row cell negative 2 space space space space space space space 3 end cell row cell 1 space space space space minus 1 end cell end table close parentheses plus open parentheses table row cell 5 space space space space 13 end cell row cell 4 space space space space space space 10 end cell end table close parentheses equals space open parentheses table row cell 3 space space space space space 16 end cell row cell 5 space space space space space space 9 end cell end table close parentheses A d j left parenthesis C right parenthesis equals open parentheses table row cell d space space space space minus b end cell row cell negative c space space space space a end cell end table close parentheses equals open parentheses table row cell 9 space space space space space space minus 16 end cell row cell negative 5 space space space space space 3 end cell end table close parentheses open vertical bar C close vertical bar equals space d e t space left parenthesis C right parenthesis space equals a d space minus space b c space equals space 3.9 minus 16 space. space 5 space equals 27 space minus 80 S e h i n g g a space C to the power of negative 1 end exponent equals fraction numerator 1 over denominator 27 minus 80 end fraction open parentheses table row cell 9 space space space space minus 16 end cell row cell negative 5 space space space space space 3 end cell end table close parentheses equals negative 1 over 53 open parentheses table row cell 9 space space space space space minus 16 end cell row cell negative 5 space space space space space space space space 3 end cell end table close parentheses$

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

0.0 (0 rating)

Pertanyaan serupa

Diketahui matriks A = [ 2 4 x y ] , B = [ 1 − 6 3 6 ] , dan C = [ 3 − 2 5 5 ] . Jika A + B = C , maka nilai y − x = ....

3.6

Jawaban terverifikasi

Diketahui A= ( X + 1 2 3 5 ) , B= ( X 3 2 Y + 2 ) , dan C= ( 3 5 5 4 ) . Jika A+B=C, Nilai x+y adalah ....

3.4

Jawaban terverifikasi

Diketahui persamaan matriks: 3 ( 5 y x 4 ) + ( − 6 3 − y x − 4 − 7 ) = ( 9 13 8 5 ) Nilai 2 x − y adalah ....

4.8

Jawaban terverifikasi

Diketahui matriks A = ( p 2 q 5 3 r ) , B = ( 5 3 − 1 2 ) dan C = ( − 2 2 3 4 ) serta C T adalah transpose matriks. Jika A + B = 2 C T , maka nilai p + 2 q + r sama dengan ...

3.6

Jawaban terverifikasi

Diketahui matriks-matriks A = ( 2 x − 3 z z − 3 5 9 ) , B = ( 2 1 − 1 z − 4 ) , C = ( 2 − 9 1 y ) . Jika adalah transpose dari matriks dan A + B T − C = ( 3 4 5 6 ) , maka nilai x + y ...

4.6

Jawaban terverifikasi