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If the determinant | array lll x & 1 & 3 0 & 0 & 1 1 & x & 4 array |=0 then what is x equal to?

Options

  1. A-2 or 2
  2. B-3 or 3
  3. C-1 or 1
  4. D3 or 4

Correct answer

C. -1 or 1

Step-by-step solution

| array lll x & 1 & 3 0 & 0 & 1 1 & x & 4 array |=0 x(0-x)+1(1-0)+3(0-0)=0 aligned & -x^2+1=0 & x= 1 aligned

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