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KCET2026MathematicsDeterminants

Which of the following is correct?

Options

  1. ADeterminant is a square matrix
  2. BDeterminant is a number associated to a matrix
  3. CDeterminant is a unique number associated to a square matrix
  4. DDeterminant is not defined for a square matrix

Correct answer

C. Determinant is a unique number associated to a square matrix

Step-by-step solution

A determinant is a scalar value (a unique number, which can be real or complex) that can be computed from the elements of a square matrix. It is not a matrix itself, but a number associated specifically with a square matrix. Therefore, a determinant is a unique number associated to a square matrix. Answer: Determinant is a unique number associated to a square matrix

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