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Jika matriks merupakan matriks singular, maka nilai a adalah ….

Jika matriks A equals open parentheses table row a 2 3 row 1 a 4 row a 2 5 end table close parentheses  merupakan matriks singular, maka nilai a adalah ….

  1. -2 atau 2

  2. negative square root of 2 space a t a u space square root of 2

  3. 1 atau 1

  4. 2

  5. 2 square root of 2

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Pembahasan

Matriks singular adalah matriks yang memiliki determinan nol.

Matriks singular adalah matriks yang memiliki determinan nol.

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open vertical bar A close vertical bar equals 0  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open vertical bar table row a 2 3 row 1 a 4 row a 2 5 end table close vertical bar equals 0  space space space space space space space space space space a open vertical bar table row a 4 row 2 5 end table close vertical bar minus 2 open vertical bar table row 1 4 row a 5 end table close vertical bar plus 3 open vertical bar table row 1 a row a 2 end table close vertical bar equals 0  a open parentheses 5 a minus 8 close parentheses minus 2 open parentheses 5 minus 4 a close parentheses plus 3 open parentheses 2 minus a squared close parentheses equals 0  space space space space space space space space space 5 a squared minus 8 a minus 10 plus 8 a plus 6 minus 3 a squared equals 0  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 2 a squared minus 4 equals 0  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space a squared minus 2 equals 0  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space a squared equals 2  a equals square root of 2 space space space space space space space space a t a u space a equals negative square root of 2

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Agar A = ⎝ ⎛ ​ 2 2 − x − 2 ​ x 1 2 x − 5 ​ − 1 − 3 − 2 ​ ⎠ ⎞ ​ merupakan matriks singular, tentukanlah nilai x .

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