Pertanyaan

Diberikan matriks A = ( 1 2 2 3 ) . Tentukan A + k A − 1 .

Diberikan matriks $A = (1223)$ .

Tentukan $A + k A^{- 1}$ .

A. Septianingsih

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell A plus k A to the power of negative 1 end exponent end cell equals cell open parentheses table row 1 2 row 2 3 end table close parentheses plus k. fraction numerator 1 over denominator 3 minus 4 end fraction open parentheses table row 3 cell negative 2 end cell row cell negative 2 end cell 1 end table close parentheses end cell row blank equals cell open parentheses table row 1 2 row 2 3 end table close parentheses plus k. fraction numerator 1 over denominator negative 1 end fraction open parentheses table row 3 cell negative 2 end cell row cell negative 2 end cell 1 end table close parentheses end cell row blank equals cell open parentheses table row 1 2 row 2 3 end table close parentheses plus k. open parentheses table row cell negative 3 end cell 2 row 2 cell negative 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row 1 2 row 2 3 end table close parentheses plus open parentheses table row cell negative 3 k end cell cell 2 k end cell row cell 2 k end cell cell negative 1 k end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 1 minus 3 k end cell cell 2 plus 2 k end cell row cell 2 minus 2 k end cell cell 3 minus 1 k end cell end table close parentheses end cell end table$