Q48 / 160 · AP EAMCET 2020 (17 Sep Shift 2) · Mathematics

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

  • A
    Exactly one of them must be singular
  • B
    Both \(P\) and \(Q\) must be singular
  • C
    Both \(P\) and \(Q\) must be non-singular
  • Correct answer
    D
    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.

Hence, the correct answer is option: 'D'.

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