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AP EAMCET202017 Sep 2020Morning ShiftMathematicsMatricesActual

In (P ) and (Q ) are square matrices such that (P²⁰⁰⁶=0 ) and (P Q=P+Q ), then ( det (Q) ) will be

Options

  1. A0
  2. B1 only
  3. C-1 only
  4. D1

Correct answer

A. 0

Step-by-step solution

( array llll & P²⁰⁰⁶ =O and P Q=P+Q & P²⁰⁰⁶ Q =P²⁰⁰⁶+Q P²⁰⁰⁵ & O =O+Q P²⁰⁰⁵ & P²⁰⁰⁵ Q =O & det (P²⁰⁰⁵ Q ) =O & det P²⁰⁰⁵( det Q) =O det Q=O array )

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