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What makes a matrix singular?

  • A.it is not square
  • B.its trace is zero
  • C.its determinant is zero
  • D.its determinant is unity

Answer: C

A zero determinant means no inverse exists, since the inverse formula divides by it, and the rows are linearly dependent. The associated homogeneous system then has non-trivial solutions, which is the practical consequence in solving equations.

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