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Diketahui , ,  dan . Nilai determinan matriks

Pertanyaan

Diketahui begin mathsize 14px style text A= end text open parentheses table row 3 cell negative 1 end cell row 4 2 end table close parentheses end style, begin mathsize 14px style text B= end text open parentheses table row cell negative 4 end cell 5 row 1 0 end table close parentheses end style, begin mathsize 14px style text C= end text open parentheses table row 4 5 row 2 cell negative 7 end cell end table close parentheses end style dan Error converting from MathML to accessible text.. Nilai determinan matriks begin mathsize 14px style text D=… end text end style

Pembahasan Soal:

Operasi penjumlahan dan pengurangan matriks Error converting from MathML to accessible text. dapat dihitung seperti berikut,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight D equals cell 3 straight A plus straight B minus straight C end cell row blank equals cell 3 open parentheses table row 3 cell negative 1 end cell row 4 2 end table close parentheses plus open parentheses table row cell negative 4 end cell 5 row 1 0 end table close parentheses minus open parentheses table row 4 5 row 2 cell negative 7 end cell end table close parentheses end cell row blank equals cell open square brackets open parentheses table row 9 cell negative 3 end cell row 12 6 end table close parentheses plus open parentheses table row cell negative 4 end cell 5 row 1 0 end table close parentheses close square brackets minus open parentheses table row 4 5 row 2 cell negative 7 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 9 minus 4 end cell cell negative 3 plus 5 end cell row cell 12 plus 1 end cell cell 6 plus 0 end cell end table close parentheses minus open parentheses table row 4 5 row 2 cell negative 7 end cell end table close parentheses end cell row blank equals cell open parentheses table row 5 2 row 13 6 end table close parentheses minus open parentheses table row 4 5 row 2 cell negative 7 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 5 minus 4 end cell cell 2 minus 5 end cell row cell 13 minus 2 end cell cell 6 minus left parenthesis negative 7 right parenthesis end cell end table close parentheses end cell row blank equals cell open parentheses table row 1 cell negative 3 end cell row 11 13 end table close parentheses end cell end table end style   

 Didapatkan matriks begin mathsize 14px style text D= end text table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses table row 1 cell negative 3 end cell row 11 13 end table close parentheses end cell end table end style, dengan demikian

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar straight D close vertical bar end cell equals cell a d minus b c end cell row blank equals cell open parentheses 1 times 13 close parentheses minus open parentheses left parenthesis negative 3 right parenthesis times 11 close parentheses end cell row blank equals cell 13 minus left parenthesis negative 33 right parenthesis end cell row blank equals 46 end table end style 

Jadi, nilai determinan dari matriks begin mathsize 14px style text D end text end style adalah begin mathsize 14px style 46 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 13 Maret 2021

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