Pertanyaan

JIka a bilangan bulat dan matriks mempunyai determinan 0, maka a = ….

JIka a bilangan bulat dan matriks open parentheses table row a 1 2 row a 1 a row 5 6 7 end table close parentheses mempunyai determinan 0, maka a = ….

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Jawaban terverifikasi

Pembahasan

Maka, nilai a = 2

$open vertical bar table row a 1 2 row a 1 a row 5 6 7 end table close vertical bar equals 0 a. open vertical bar table row 1 a row 6 7 end table close vertical bar minus 1. open vertical bar table row a a row 5 7 end table close vertical bar plus 2. open vertical bar table row a 1 row 5 6 end table close vertical bar equals 0 a left parenthesis 7 minus 6 a right parenthesis minus left parenthesis 7 a minus 5 a right parenthesis plus 2 left parenthesis 6 a minus 5 right parenthesis equals 0 7 a minus 6 a squared minus 2 a plus 12 a minus 10 equals 0 minus 6 a squared plus 17 a minus 10 equals 0 6 a squared minus 17 a plus 10 equals 0 fraction numerator open parentheses 6 a minus 12 close parentheses open parentheses 6 a minus 5 close parentheses over denominator 6 end fraction equals 0 open parentheses a minus 2 close parentheses open parentheses 6 a minus 5 close parentheses equals 0$

Maka, nilai a = 2