Pertanyaan

Jika diketahui matriks P = ( 1 − 2 4 − 1 ) dan Q = ( 3 1 − 5 2 ) , maka nilai dari ( P + Q ) − 1 adalah...

Jika diketahui matriks $P = (1 - 2 4 - 1)$ dan $Q = (31 - 5 2)$ , maka nilai dari $(P + Q)^{- 1}$ adalah...

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Jawaban terverifikasi

Pembahasan

$P equals open parentheses table row 1 4 row cell negative 2 end cell cell negative 1 end cell end table close parentheses space d a n space Q equals open parentheses table row 3 cell negative 5 end cell row 1 2 end table close parentheses P plus Q equals open parentheses table row 1 4 row cell negative 2 end cell cell negative 1 end cell end table close parentheses space plus space open parentheses table row 3 cell negative 5 end cell row 1 2 end table close parentheses equals open parentheses table row 4 2 row cell negative 1 end cell 1 end table close parentheses left parenthesis P plus Q right parenthesis to the power of negative 1 end exponent equals fraction numerator 1 over denominator left parenthesis 4 cross times 1 right parenthesis minus left parenthesis 2 cross times negative 1 right parenthesis end fraction open parentheses table row 1 cell negative 2 end cell row 1 4 end table close parentheses equals fraction numerator 1 over denominator 4 plus 2 end fraction open parentheses table row 1 cell negative 2 end cell row 1 4 end table close parentheses equals open parentheses table row cell 1 over 6 end cell cell negative 1 third end cell row cell 1 over 6 end cell cell 2 over 3 end cell end table close parentheses$