If \(P\) and \(Q\) are two non-zero square matrices of the same order such that the product \(P Q=0\), then …

If \(P\) and \(Q\) are two non-zero square matrices of the same order such that the product \(P Q=0\), then ........
  1. Exactly one of them must be singular
  2. Both \(P\) and \(Q\) must be singular
  3. Both \(P\) and \(Q\) must be non-singular
  4. None of the options are correct

Solution

For 2-non zero square matrix; of same order; product may be zero even when matrices are singular or non singular. So none of the options is correct.

Asked in: AP EAMCET 2020 (17 Sep Shift 2)

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