Which of the following is correct?

  • A

    Determinant is a square matrix.

  • B

    Determinant is a number associated to a matrix.

  • C

    None of these.

  • D

    Determinant is a number associated to a square matrix.

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If $q_1$ , $q_2$ , $q_3$ are roots of the equation $x^3 + 64$ = $0$ , then the value of $\left| {\begin{array}{*{20}{c}}
  {{q_1}}&{{q_2}}&{{q_3}} \\ 
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The roots of the equation $\left| {\,\begin{array}{*{20}{c}}{1 + x}&1&1\\1&{1 + x}&1\\1&1&{1 + x}\end{array}\,} \right| = 0$   are